461624016768 has 32 divisors (see below), whose sum is σ = 1226188795560. Its totient is φ = 153874672128.

The previous prime is 461624016757. The next prime is 461624016781. The reversal of 461624016768 is 867610426164.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 461624016768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601072555 + ... + 601073322.

Almost surely, 2^461624016768 is an apocalyptic number.

461624016768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461624016768 is an abundant number, since it is smaller than the sum of its proper divisors (764564778792).

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

461624016768 is a wasteful number, since it uses less digits than its factorization.

461624016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202145894 (or 1202145882 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 461624016768 in words is "four hundred sixty-one billion, six hundred twenty-four million, sixteen thousand, seven hundred sixty-eight".