461457652144700 has 36 divisors (see below), whose sum is σ = 1001381695360200. Its totient is φ = 184579634091840.

The previous prime is 461457652144693. The next prime is 461457652144729. The reversal of 461457652144700 is 7441256754164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37417727 + ... + 48197526.

It is an arithmetic number, because the mean of its divisors is an integer number (27816158204450).

Almost surely, 2^{461457652144700} is an apocalyptic number.

It is an amenable number.

461457652144700 is an abundant number, since it is smaller than the sum of its proper divisors (539924043215500).

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

461457652144700 is a wasteful number, since it uses less digits than its factorization.

461457652144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85669166 (or 85669159 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 56.

The spelling of 461457652144700 in words is "four hundred sixty-one trillion, four hundred fifty-seven billion, six hundred fifty-two million, one hundred forty-four thousand, seven hundred".