381569744160 has 432 divisors, whose sum is σ = 1433598703992. Its totient is φ = 92349480960.

The previous prime is 381569744137. The next prime is 381569744177. The reversal of 381569744160 is 61447965183.

381569744160 is a `hidden beast` number, since 3 + 8 + 1 + 56 + 97 + 441 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191707368336 + 189862375824 = 437844^2 + 435732^2 .

It is a junction number, because it is equal to n+sod(n) for n = 381569744097 and 381569744106.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134686104 + ... + 134688936.

Almost surely, 2^381569744160 is an apocalyptic number.

381569744160 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 381569744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716799351996).

381569744160 is an abundant number, since it is smaller than the sum of its proper divisors (1052028959832).

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

381569744160 is a wasteful number, since it uses less digits than its factorization.

381569744160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 381569744160 in words is "three hundred eighty-one billion, five hundred sixty-nine million, seven hundred forty-four thousand, one hundred sixty".