381074917392 has 180 divisors, whose sum is σ = 1155500806980. Its totient is φ = 117185522688.

The previous prime is 381074917357. The next prime is 381074917511. The reversal of 381074917392 is 293719470183.

381074917392 is a `hidden beast` number, since 3 + 81 + 0 + 7 + 491 + 73 + 9 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 80556062976 + 300518854416 = 283824^2 + 548196^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55799034 + ... + 55805862.

Almost surely, 2^381074917392 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 381074917392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577750403490).

381074917392 is an abundant number, since it is smaller than the sum of its proper divisors (774425889588).

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

381074917392 is a wasteful number, since it uses less digits than its factorization.

381074917392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

It can be divided in two parts, 381074 and 917392, that added together give a triangular number (1298466 = T₁₆₁₁).

The spelling of 381074917392 in words is "three hundred eighty-one billion, seventy-four million, nine hundred seventeen thousand, three hundred ninety-two".