461007855268992 has 192 divisors, whose sum is σ = 1384300443764160. Its totient is φ = 146985448642560.

The previous prime is 461007855268951. The next prime is 461007855269011. The reversal of 461007855268992 is 299862558700164.

461007855268992 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 0 + 7 + 8 + 5 + 526 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 461007855268992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034011098 + ... + 2034237734.

It is an arithmetic number, because the mean of its divisors is an integer number (7209898144605).

Almost surely, 2^{461007855268992} 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 461007855268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692150221882080).

461007855268992 is an abundant number, since it is smaller than the sum of its proper divisors (923292588495168).

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

461007855268992 is a wasteful number, since it uses less digits than its factorization.

461007855268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303451 (or 303436 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 461007855268992 in words is "four hundred sixty-one trillion, seven billion, eight hundred fifty-five million, two hundred sixty-eight thousand, nine hundred ninety-two".