461456750133024 has 192 divisors, whose sum is σ = 1245336211445760. Its totient is φ = 149560109475840.

The previous prime is 461456750133023. The next prime is 461456750133143. The reversal of 461456750133024 is 420331057654164.

It is not an unprimeable number, because it can be changed into a prime (461456750133023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5695620387 + ... + 5695701405.

It is an arithmetic number, because the mean of its divisors is an integer number (6486126101280).

Almost surely, 2^{461456750133024} 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 461456750133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622668105722880).

461456750133024 is an abundant number, since it is smaller than the sum of its proper divisors (783879461312736).

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

461456750133024 is a wasteful number, since it uses less digits than its factorization.

461456750133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92623 (or 92615 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 461456750133024 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, seven hundred fifty million, one hundred thirty-three thousand, twenty-four".