38661494682096 has 1440 divisors, whose sum is σ = 139341831552000. Its totient is φ = 10193414077440.

The previous prime is 38661494682053. The next prime is 38661494682101. The reversal of 38661494682096 is 69028649416683.

38661494682096 is a `hidden beast` number, since 3 + 8 + 66 + 14 + 9 + 468 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×38661494682096² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 88067185845 + ... + 88067186283.

It is an arithmetic number, because the mean of its divisors is an integer number (96765160800).

Almost surely, 2^{38661494682096} is an apocalyptic number.

38661494682096 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 38661494682096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69670915776000).

38661494682096 is an abundant number, since it is smaller than the sum of its proper divisors (100680336869904).

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

38661494682096 is a wasteful number, since it uses less digits than its factorization.

38661494682096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 38661494682096 in words is "thirty-eight trillion, six hundred sixty-one billion, four hundred ninety-four million, six hundred eighty-two thousand, ninety-six".