38160770554368 has 1600 divisors, whose sum is σ = 147106394873856. Its totient is φ = 9558134784000.

The previous prime is 38160770554349. The next prime is 38160770554369. The reversal of 38160770554368 is 86345507706183.

It is a happy number.

38160770554368 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 0 + 7 + 70 + 554 + 3 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38160770554369) 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, 39300484123 + ... + 39300485093.

Almost surely, 2^{38160770554368} 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 38160770554368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73553197436928).

38160770554368 is an abundant number, since it is smaller than the sum of its proper divisors (108945624319488).

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

38160770554368 is a wasteful number, since it uses less digits than its factorization.

38160770554368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 38160770554368 in words is "thirty-eight trillion, one hundred sixty billion, seven hundred seventy million, five hundred fifty-four thousand, three hundred sixty-eight".