381074457456 has 360 divisors, whose sum is σ = 1412229147264. Its totient is φ = 94676440320.

The previous prime is 381074457419. The next prime is 381074457487. The reversal of 381074457456 is 654754470183.

381074457456 is a `hidden beast` number, since 3 + 8 + 10 + 7 + 4 + 4 + 574 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1678435 + ... + 1891901.

Almost surely, 2^381074457456 is an apocalyptic number.

381074457456 is a gapful number since it is divisible by the number (36) 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 381074457456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706114573632).

381074457456 is an abundant number, since it is smaller than the sum of its proper divisors (1031154689808).

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

381074457456 is a wasteful number, since it uses less digits than its factorization.

381074457456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213529 (or 213513 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 381074457456 in words is "three hundred eighty-one billion, seventy-four million, four hundred fifty-seven thousand, four hundred fifty-six".