10067714244 has 81 divisors (see below), whose sum is σ = 29616270957. Its totient is φ = 2875285728.

The previous prime is 10067714233. The next prime is 10067714249. The reversal of 10067714244 is 44241776001.

It is a happy number.

The square root of 10067714244 is 100338.

It is a perfect power (a square), and thus also a powerful number.

10067714244 is a `hidden beast` number, since 100 + 67 + 71 + 424 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2288474244 + 7779240000 = 47838^2 + 88200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10067714199 and 10067714208.

It is not an unprimeable number, because it can be changed into a prime (10067714249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4213002 + ... + 4215390.

Almost surely, 2^10067714244 is an apocalyptic number.

10067714244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10067714244 is the 100338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10067714244

10067714244 is an abundant number, since it is smaller than the sum of its proper divisors (19548556713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10067714244 is an equidigital number, since it uses as much as digits as its factorization.

10067714244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Multiplying 10067714244 by its sum of digits (36), we get a square (362437712784 = 602028²).

10067714244 divided by its sum of digits (36) gives a square (279658729 = 16723²).

It can be divided in two parts, 100677 and 14244, that added together give a square (114921 = 339²).

The spelling of 10067714244 in words is "ten billion, sixty-seven million, seven hundred fourteen thousand, two hundred forty-four".