38811623957568 has 1120 divisors, whose sum is σ = 147567433356288. Its totient is φ = 9791713382400.

The previous prime is 38811623957567. The next prime is 38811623957593. The reversal of 38811623957568 is 86575932611883.

38811623957568 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 1 + 6 + 2 + 3 + 9 + 57 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38811623957496 and 38811623957505.

It is not an unprimeable number, because it can be changed into a prime (38811623957563) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10205526355 + ... + 10205530157.

Almost surely, 2^{38811623957568} 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 38811623957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73783716678144).

38811623957568 is an abundant number, since it is smaller than the sum of its proper divisors (108755809398720).

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

38811623957568 is a wasteful number, since it uses less digits than its factorization.

38811623957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4573 (or 4554 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 72.

The spelling of 38811623957568 in words is "thirty-eight trillion, eight hundred eleven billion, six hundred twenty-three million, nine hundred fifty-seven thousand, five hundred sixty-eight".