461418899630256 has 480 divisors, whose sum is σ = 1395693837877248. Its totient is φ = 141923958865920.

The previous prime is 461418899630207. The next prime is 461418899630287. The reversal of 461418899630256 is 652036998814164.

461418899630256 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 188 + 9 + 96 + 302 + 56 = 666.

It is a super-2 number, since 2×461418899630256² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26410551601 + ... + 26410569071.

Almost surely, 2^{461418899630256} is an apocalyptic number.

461418899630256 is a gapful number since it is divisible by the number (46) 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 461418899630256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697846918938624).

461418899630256 is an abundant number, since it is smaller than the sum of its proper divisors (934274938246992).

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

461418899630256 is a wasteful number, since it uses less digits than its factorization.

461418899630256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19369 (or 19360 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 461418899630256 in words is "four hundred sixty-one trillion, four hundred eighteen billion, eight hundred ninety-nine million, six hundred thirty thousand, two hundred fifty-six".