381504476160 has 264 divisors, whose sum is σ = 1352652032160. Its totient is φ = 99368091648.

The previous prime is 381504476123. The next prime is 381504476173. The reversal of 381504476160 is 61674405183.

381504476160 is a `hidden beast` number, since 3 + 8 + 15 + 0 + 4 + 476 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885171 + ... + 2077709.

It is an arithmetic number, because the mean of its divisors is an integer number (5123681940).

Almost surely, 2^381504476160 is an apocalyptic number.

381504476160 is a gapful number since it is divisible by the number (30) 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 381504476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676326016080).

381504476160 is an abundant number, since it is smaller than the sum of its proper divisors (971147556000).

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

381504476160 is a wasteful number, since it uses less digits than its factorization.

381504476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192613 (or 192592 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 381504476160 in words is "three hundred eighty-one billion, five hundred four million, four hundred seventy-six thousand, one hundred sixty".