381568079745765 has 128 divisors (see below), whose sum is σ = 781770900787200. Its totient is φ = 174632989029120.

The previous prime is 381568079745763. The next prime is 381568079745829. The reversal of 381568079745765 is 567547970865183.

381568079745765 is a `hidden beast` number, since 3 + 8 + 1 + 568 + 0 + 7 + 9 + 7 + 45 + 7 + 6 + 5 = 666.

It is not a de Polignac number, because 381568079745765 - 2¹ = 381568079745763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381568079745763) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16595257 + ... + 32226366.

It is an arithmetic number, because the mean of its divisors is an integer number (6107585162400).

Almost surely, 2^{381568079745765} is an apocalyptic number.

It is an amenable number.

381568079745765 is an abundant number, since it is smaller than the sum of its proper divisors (400202821041435).

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

381568079745765 is a wasteful number, since it uses less digits than its factorization.

381568079745765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48821944 (or 48821938 counting only the distinct ones).

The product of its (nonzero) digits is 10668672000, while the sum is 81.

The spelling of 381568079745765 in words is "three hundred eighty-one trillion, five hundred sixty-eight billion, seventy-nine million, seven hundred forty-five thousand, seven hundred sixty-five".