461903731752960 has 1152 divisors, whose sum is σ = 1975731106406400. Its totient is φ = 100020749598720.

The previous prime is 461903731752929. The next prime is 461903731752989. The reversal of 461903731752960 is 69257137309164.

It is a happy number.

461903731752960 is a `hidden beast` number, since 4 + 6 + 1 + 9 + 0 + 37 + 3 + 17 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2353299625 + ... + 2353495895.

It is an arithmetic number, because the mean of its divisors is an integer number (1715044363200).

Almost surely, 2^{461903731752960} is an apocalyptic number.

461903731752960 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 461903731752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987865553203200).

461903731752960 is an abundant number, since it is smaller than the sum of its proper divisors (1513827374653440).

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

461903731752960 is an equidigital number, since it uses as much as digits as its factorization.

461903731752960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196345 (or 196307 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 461903731752960 in words is "four hundred sixty-one trillion, nine hundred three billion, seven hundred thirty-one million, seven hundred fifty-two thousand, nine hundred sixty".