38763315795456 has 480 divisors, whose sum is σ = 128818708432128. Its totient is φ = 10991962275840.

The previous prime is 38763315795427. The next prime is 38763315795461. The reversal of 38763315795456 is 65459751336783.

38763315795456 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 3 + 3 + 1 + 5 + 79 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4917326491 + ... + 4917334373.

Almost surely, 2^{38763315795456} is an apocalyptic number.

38763315795456 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 38763315795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64409354216064).

38763315795456 is an abundant number, since it is smaller than the sum of its proper divisors (90055392636672).

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

38763315795456 is a wasteful number, since it uses less digits than its factorization.

38763315795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9042 (or 9023 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 38763315795456 in words is "thirty-eight trillion, seven hundred sixty-three billion, three hundred fifteen million, seven hundred ninety-five thousand, four hundred fifty-six".