381552760512 has 672 divisors, whose sum is σ = 1391681101824. Its totient is φ = 97077657600.

The previous prime is 381552760399. The next prime is 381552760549. The reversal of 381552760512 is 215067255183.

381552760512 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 5 + 27 + 605 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618399628 + ... + 618400244.

Almost surely, 2^381552760512 is an apocalyptic number.

381552760512 is a gapful number since it is divisible by the number (32) 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 381552760512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695840550912).

381552760512 is an abundant number, since it is smaller than the sum of its proper divisors (1010128341312).

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

381552760512 is a wasteful number, since it uses less digits than its factorization.

381552760512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 381552760512 in words is "three hundred eighty-one billion, five hundred fifty-two million, seven hundred sixty thousand, five hundred twelve".