381057517919232 has 5544 divisors, whose sum is σ = 1606788030494160. Its totient is φ = 89145716244480.

The previous prime is 381057517919209. The next prime is 381057517919251. The reversal of 381057517919232 is 232919715750183.

381057517919232 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 5 + 7 + 517 + 91 + 9 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (5544).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 381057517919232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 3372190424008 + ... + 3372190424120.

Almost surely, 2^{381057517919232} is an apocalyptic number.

381057517919232 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 381057517919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803394015247080).

381057517919232 is an abundant number, since it is smaller than the sum of its proper divisors (1225730512574928).

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

381057517919232 is a wasteful number, since it uses less digits than its factorization.

381057517919232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 381057517919232 in words is "three hundred eighty-one trillion, fifty-seven billion, five hundred seventeen million, nine hundred nineteen thousand, two hundred thirty-two".