38693511216 has 320 divisors, whose sum is σ = 117792460800. Its totient is φ = 12147148800.

The previous prime is 38693511209. The next prime is 38693511223. The reversal of 38693511216 is 61211539683.

38693511216 is a `hidden beast` number, since 3 + 86 + 9 + 351 + 1 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (38693511209) and next prime (38693511223).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63745185 + ... + 63745791.

It is an arithmetic number, because the mean of its divisors is an integer number (368101440).

Almost surely, 2^38693511216 is an apocalyptic number.

38693511216 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 38693511216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58896230400).

38693511216 is an abundant number, since it is smaller than the sum of its proper divisors (79098949584).

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

38693511216 is a wasteful number, since it uses less digits than its factorization.

38693511216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 773 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 38693511216 in words is "thirty-eight billion, six hundred ninety-three million, five hundred eleven thousand, two hundred sixteen".