461650746811392 has 528 divisors, whose sum is σ = 1375651600128000. Its totient is φ = 149036927877120.

The previous prime is 461650746811361. The next prime is 461650746811399. The reversal of 461650746811392 is 293118647056164.

461650746811392 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 50 + 7 + 468 + 113 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (461650746811399) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17361152017 + ... + 17361178607.

It is a 1-persistent number, because it is pandigital, but 2⋅461650746811392 = 923301493622784 is not.

Almost surely, 2^{461650746811392} 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 461650746811392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687825800064000).

461650746811392 is an abundant number, since it is smaller than the sum of its proper divisors (914000853316608).

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

461650746811392 is a wasteful number, since it uses less digits than its factorization.

461650746811392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27082 (or 27061 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 461650746811392 in words is "four hundred sixty-one trillion, six hundred fifty billion, seven hundred forty-six million, eight hundred eleven thousand, three hundred ninety-two".