461514423530160 has 3840 divisors, whose sum is σ = 2294842752663552. Its totient is φ = 79906524364800.

The previous prime is 461514423530089. The next prime is 461514423530243. The reversal of 461514423530160 is 61035324415164.

461514423530160 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 14 + 42 + 3 + 530 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42919591344 + ... + 42919602096.

Almost surely, 2^{461514423530160} is an apocalyptic number.

461514423530160 is a gapful number since it is divisible by the number (40) 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 461514423530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147421376331776).

461514423530160 is an abundant number, since it is smaller than the sum of its proper divisors (1833328329133392).

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

461514423530160 is a wasteful number, since it uses less digits than its factorization.

461514423530160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10955 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 461514423530160 in words is "four hundred sixty-one trillion, five hundred fourteen billion, four hundred twenty-three million, five hundred thirty thousand, one hundred sixty".