38321458517664 has 480 divisors, whose sum is σ = 132320765808000. Its totient is φ = 10650095695872.

The previous prime is 38321458517647. The next prime is 38321458517677. The reversal of 38321458517664 is 46671585412383.

38321458517664 is a `hidden beast` number, since 3 + 8 + 3 + 2 + 1 + 4 + 58 + 517 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3650005087 + ... + 3650015585.

It is an arithmetic number, because the mean of its divisors is an integer number (275668262100).

Almost surely, 2^{38321458517664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38321458517664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66160382904000).

38321458517664 is an abundant number, since it is smaller than the sum of its proper divisors (93999307290336).

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

38321458517664 is a wasteful number, since it uses less digits than its factorization.

38321458517664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16002 (or 15985 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 63.

The spelling of 38321458517664 in words is "thirty-eight trillion, three hundred twenty-one billion, four hundred fifty-eight million, five hundred seventeen thousand, six hundred sixty-four".