381804572160 has 1280 divisors, whose sum is σ = 1586727014400. Its totient is φ = 85996339200.

The previous prime is 381804572131. The next prime is 381804572273. The reversal of 381804572160 is 61275408183.

381804572160 is a `hidden beast` number, since 3 + 8 + 18 + 0 + 4 + 572 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1408872825 + ... + 1408873095.

It is an arithmetic number, because the mean of its divisors is an integer number (1239630480).

Almost surely, 2^381804572160 is an apocalyptic number.

381804572160 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 381804572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793363507200).

381804572160 is an abundant number, since it is smaller than the sum of its proper divisors (1204922442240).

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

381804572160 is a wasteful number, since it uses less digits than its factorization.

381804572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 381804572160 in words is "three hundred eighty-one billion, eight hundred four million, five hundred seventy-two thousand, one hundred sixty".