381562625664 has 384 divisors, whose sum is σ = 1291631140800. Its totient is φ = 106865049600.

The previous prime is 381562625641. The next prime is 381562625677. The reversal of 381562625664 is 466526265183.

381562625664 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 6 + 2 + 625 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 381562625664.

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, 9852162 + ... + 9890814.

Almost surely, 2^381562625664 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 381562625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645815570400).

381562625664 is an abundant number, since it is smaller than the sum of its proper divisors (910068515136).

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

381562625664 is a wasteful number, since it uses less digits than its factorization.

381562625664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38744 (or 38729 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 381562625664 in words is "three hundred eighty-one billion, five hundred sixty-two million, six hundred twenty-five thousand, six hundred sixty-four".