38016815913216 has 2592 divisors, whose sum is σ = 145135171359360. Its totient is φ = 9860340252672.

The previous prime is 38016815913157. The next prime is 38016815913233. The reversal of 38016815913216 is 61231951861083.

38016815913216 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 6 + 8 + 1 + 591 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 242145324210 + ... + 242145324366.

Almost surely, 2^{38016815913216} is an apocalyptic number.

38016815913216 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 38016815913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72567585679680).

38016815913216 is an abundant number, since it is smaller than the sum of its proper divisors (107118355446144).

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

38016815913216 is a wasteful number, since it uses less digits than its factorization.

38016815913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 38016815913216 in words is "thirty-eight trillion, sixteen billion, eight hundred fifteen million, nine hundred thirteen thousand, two hundred sixteen".