461774739268416 has 168 divisors, whose sum is σ = 1421451853803840. Its totient is φ = 131917191211008.

The previous prime is 461774739268391. The next prime is 461774739268417. The reversal of 461774739268416 is 614862937477164.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461774739268417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63923796 + ... + 70779948.

Almost surely, 2^{461774739268416} 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 461774739268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710725926901920).

461774739268416 is an abundant number, since it is smaller than the sum of its proper divisors (959677114535424).

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

461774739268416 is a wasteful number, since it uses less digits than its factorization.

461774739268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6863341 (or 6863324 counting only the distinct ones).

The product of its digits is 2048385024, while the sum is 75.

The spelling of 461774739268416 in words is "four hundred sixty-one trillion, seven hundred seventy-four billion, seven hundred thirty-nine million, two hundred sixty-eight thousand, four hundred sixteen".