10061838144 has 560 divisors, whose sum is σ = 33989345280. Its totient is φ = 2926264320.

The previous prime is 10061838103. The next prime is 10061838181. The reversal of 10061838144 is 44183816001.

It is a happy number.

10061838144 is a `hidden beast` number, since 1 + 0 + 0 + 618 + 38 + 1 + 4 + 4 = 666.

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 = 10061838099 and 10061838108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79227009 + ... + 79227135.

Almost surely, 2^10061838144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10061838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994672640).

10061838144 is an abundant number, since it is smaller than the sum of its proper divisors (23927507136).

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

10061838144 is a wasteful number, since it uses less digits than its factorization.

10061838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10061838144 in words is "ten billion, sixty-one million, eight hundred thirty-eight thousand, one hundred forty-four".