461725077516345 has 24 divisors (see below), whose sum is σ = 802880411705736. Its totient is φ = 245466622672128.

The previous prime is 461725077516319. The next prime is 461725077516379. The reversal of 461725077516345 is 543615770527164.

461725077516345 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 2 + 5 + 0 + 77 + 516 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 675373319721 + 461049704196624 = 821811^2 + 21472068^2 .

It is not a de Polignac number, because 461725077516345 - 2²¹ = 461725075419193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16390652494 + ... + 16390680663.

It is an arithmetic number, because the mean of its divisors is an integer number (33453350487739).

Almost surely, 2^{461725077516345} is an apocalyptic number.

461725077516345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461725077516345 is a deficient number, since it is larger than the sum of its proper divisors (341155334189391).

461725077516345 is a wasteful number, since it uses less digits than its factorization.

461725077516345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32781333481 (or 32781333478 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 461725077516345 in words is "four hundred sixty-one trillion, seven hundred twenty-five billion, seventy-seven million, five hundred sixteen thousand, three hundred forty-five".