10138073344 has 243 divisors, whose sum is σ = 25192029681. Its totient is φ = 4059740160.

The previous prime is 10138073339. The next prime is 10138073353. The reversal of 10138073344 is 44337083101.

The square root of 10138073344 is 100688.

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

It can be written as a sum of positive squares in only one way, i.e., 5316159744 + 4821913600 = 72912^2 + 69440^2 .

It is a super-2 number, since 2×10138073344² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327034609 + ... + 327034639.

Almost surely, 2^10138073344 is an apocalyptic number.

10138073344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10138073344 is the 100688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10138073344

10138073344 is an abundant number, since it is smaller than the sum of its proper divisors (15053956337).

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

10138073344 is an frugal number, since it uses more digits than its factorization.

10138073344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

It can be divided in two parts, 101380 and 73344, that added together give a square (174724 = 418²).

The spelling of 10138073344 in words is "ten billion, one hundred thirty-eight million, seventy-three thousand, three hundred forty-four".