461902775685120 has 7488 divisors, whose sum is σ = 2268489937870080. Its totient is φ = 89212602286080.

The previous prime is 461902775685073. The next prime is 461902775685121. The reversal of 461902775685120 is 21586577209164.

It is a happy number.

461902775685120 is a `hidden beast` number, since 4 + 6 + 1 + 90 + 27 + 7 + 5 + 6 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (461902775685121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8715146711014 + ... + 8715146711066.

Almost surely, 2^{461902775685120} is an apocalyptic number.

461902775685120 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 461902775685120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134244968935040).

461902775685120 is an abundant number, since it is smaller than the sum of its proper divisors (1806587162184960).

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

461902775685120 is an equidigital number, since it uses as much as digits as its factorization.

461902775685120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 461902775685120 in words is "four hundred sixty-one trillion, nine hundred two billion, seven hundred seventy-five million, six hundred eighty-five thousand, one hundred twenty".