38125081086336 has 768 divisors, whose sum is σ = 122612518566720. Its totient is φ = 11316481228800.

The previous prime is 38125081086271. The next prime is 38125081086359. The reversal of 38125081086336 is 63368018052183.

38125081086336 is a `hidden beast` number, since 3 + 8 + 12 + 508 + 10 + 86 + 3 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9833653230 + ... + 9833657106.

Almost surely, 2^{38125081086336} is an apocalyptic number.

38125081086336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38125081086336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61306259283360).

38125081086336 is an abundant number, since it is smaller than the sum of its proper divisors (84487437480384).

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

38125081086336 is a wasteful number, since it uses less digits than its factorization.

38125081086336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38125081086336 in words is "thirty-eight trillion, one hundred twenty-five billion, eighty-one million, eighty-six thousand, three hundred thirty-six".