380114336165760 has 512 divisors, whose sum is σ = 1629061449523200. Its totient is φ = 81772495405056.

The previous prime is 380114336165749. The next prime is 380114336165821. The reversal of 380114336165760 is 67561633411083.

380114336165760 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 1 + 4 + 3 + 3 + 61 + 6 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 380114336165697 and 380114336165706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90369552 + ... + 94482191.

It is an arithmetic number, because the mean of its divisors is an integer number (3181760643600).

Almost surely, 2^{380114336165760} is an apocalyptic number.

380114336165760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380114336165760 is an abundant number, since it is smaller than the sum of its proper divisors (1248947113357440).

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

380114336165760 is a wasteful number, since it uses less digits than its factorization.

380114336165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184851795 (or 184851777 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 380114336165760 in words is "three hundred eighty trillion, one hundred fourteen billion, three hundred thirty-six million, one hundred sixty-five thousand, seven hundred sixty".