381476360160 has 288 divisors, whose sum is σ = 1553154613920. Its totient is φ = 87194548224.

The previous prime is 381476360159. The next prime is 381476360171. The reversal of 381476360160 is 61063674183.

381476360160 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 7 + 636 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 689389 + ... + 1112748.

It is an arithmetic number, because the mean of its divisors is an integer number (5392897965).

Almost surely, 2^381476360160 is an apocalyptic number.

381476360160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381476360160 is an abundant number, since it is smaller than the sum of its proper divisors (1171678253760).

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

381476360160 is a wasteful number, since it uses less digits than its factorization.

381476360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802175 (or 1802154 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 381476360160 in words is "three hundred eighty-one billion, four hundred seventy-six million, three hundred sixty thousand, one hundred sixty".