461349657180 has 72 divisors (see below), whose sum is σ = 1451257949232. Its totient is φ = 123026573952.

The previous prime is 461349657137. The next prime is 461349657187. The reversal of 461349657180 is 81756943164.

461349657180 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 496 + 5 + 71 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461349657187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47459097 + ... + 47468816.

It is an arithmetic number, because the mean of its divisors is an integer number (20156360406).

Almost surely, 2^461349657180 is an apocalyptic number.

It is an amenable number.

461349657180 is an abundant number, since it is smaller than the sum of its proper divisors (989908292052).

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

461349657180 is a wasteful number, since it uses less digits than its factorization.

461349657180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94927937 (or 94927923 counting only the distinct ones).

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

The spelling of 461349657180 in words is "four hundred sixty-one billion, three hundred forty-nine million, six hundred fifty-seven thousand, one hundred eighty".