38056451664 has 160 divisors (see below), whose sum is σ = 122667863040. Its totient is φ = 9877017600.

The previous prime is 38056451633. The next prime is 38056451687. The reversal of 38056451664 is 46615465083.

38056451664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5832724 + ... + 5839244.

It is an arithmetic number, because the mean of its divisors is an integer number (766674144).

Almost surely, 2^38056451664 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 38056451664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61333931520).

38056451664 is an abundant number, since it is smaller than the sum of its proper divisors (84611411376).

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

38056451664 is a wasteful number, since it uses less digits than its factorization.

38056451664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8129 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 38056451664 in words is "thirty-eight billion, fifty-six million, four hundred fifty-one thousand, six hundred sixty-four".