38152857060864 has 1920 divisors, whose sum is σ = 147084785971200. Its totient is φ = 9725927178240.

The previous prime is 38152857060763. The next prime is 38152857060881. The reversal of 38152857060864 is 46806075825183.

38152857060864 is a `hidden beast` number, since 3 + 8 + 1 + 52 + 8 + 570 + 6 + 0 + 8 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 46134046819 + ... + 46134047645.

It is an arithmetic number, because the mean of its divisors is an integer number (76606659360).

Almost surely, 2^{38152857060864} 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 38152857060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73542392985600).

38152857060864 is an abundant number, since it is smaller than the sum of its proper divisors (108931928910336).

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

38152857060864 is an equidigital number, since it uses as much as digits as its factorization.

38152857060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 38152857060864 in words is "thirty-eight trillion, one hundred fifty-two billion, eight hundred fifty-seven million, sixty thousand, eight hundred sixty-four".