381415269312 has 672 divisors, whose sum is σ = 1453378083840. Its totient is φ = 96949923840.

The previous prime is 381415269307. The next prime is 381415269329. The reversal of 381415269312 is 213962514183.

381415269312 is a `hidden beast` number, since 3 + 81 + 41 + 526 + 9 + 3 + 1 + 2 = 666.

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

It is a congruent number.

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, 43771068 + ... + 43779780.

Almost surely, 2^381415269312 is an apocalyptic number.

381415269312 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 381415269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726689041920).

381415269312 is an abundant number, since it is smaller than the sum of its proper divisors (1071962814528).

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

381415269312 is a wasteful number, since it uses less digits than its factorization.

381415269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8783 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 381415269312 in words is "three hundred eighty-one billion, four hundred fifteen million, two hundred sixty-nine thousand, three hundred twelve".