461417956848 has 120 divisors (see below), whose sum is σ = 1297748666448. Its totient is φ = 153042195456.

The previous prime is 461417956847. The next prime is 461417956927. The reversal of 461417956848 is 848659714164.

461417956848 is a `hidden beast` number, since 4 + 6 + 14 + 17 + 9 + 568 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461417956847) 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, 87503140 + ... + 87508412.

Almost surely, 2^461417956848 is an apocalyptic number.

461417956848 is a gapful number since it is divisible by the number (48) 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 461417956848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648874333224).

461417956848 is an abundant number, since it is smaller than the sum of its proper divisors (836330709600).

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

461417956848 is a wasteful number, since it uses less digits than its factorization.

461417956848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191 (or 8182 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 461417956848 in words is "four hundred sixty-one billion, four hundred seventeen million, nine hundred fifty-six thousand, eight hundred forty-eight".