461209516416 has 576 divisors, whose sum is σ = 1513224994320. Its totient is φ = 134819942400.

The previous prime is 461209516399. The next prime is 461209516423. The reversal of 461209516416 is 614615902164.

461209516416 is a `hidden beast` number, since 4 + 6 + 120 + 9 + 516 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1473512676 + ... + 1473512988.

Almost surely, 2^461209516416 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 461209516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756612497160).

461209516416 is an abundant number, since it is smaller than the sum of its proper divisors (1052015477904).

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

461209516416 is a wasteful number, since it uses less digits than its factorization.

461209516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 461209516416 in words is "four hundred sixty-one billion, two hundred nine million, five hundred sixteen thousand, four hundred sixteen".