461955102336 has 576 divisors, whose sum is σ = 1651045032000. Its totient is φ = 121393299456.

The previous prime is 461955102277. The next prime is 461955102409. The reversal of 461955102336 is 633201559164.

461955102336 is a `hidden beast` number, since 4 + 61 + 9 + 551 + 0 + 2 + 3 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 461955102291 and 461955102300.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 571019500 + ... + 571020308.

It is an arithmetic number, because the mean of its divisors is an integer number (2866397625).

Almost surely, 2^461955102336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461955102336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825522516000).

461955102336 is an abundant number, since it is smaller than the sum of its proper divisors (1189089929664).

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

461955102336 is a wasteful number, since it uses less digits than its factorization.

461955102336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 461955102336 in words is "four hundred sixty-one billion, nine hundred fifty-five million, one hundred two thousand, three hundred thirty-six".