949978046398464 has 184 divisors, whose sum is σ = 2814749767106520. Its totient is φ = 316659348799488.

The previous prime is 949978046398429. The next prime is 949978046398487. The reversal of 949978046398464 is 464893640879949.

The cubic root of 949978046398464 is 98304.

It is a perfect power (a cube), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)³ ⋅ (2!)³⁶.

949978046398464 is a `hidden beast` number, since 9 + 4 + 9 + 9 + 7 + 8 + 0 + 463 + 9 + 84 + 64 = 666.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 316659348799487 + 316659348799488 + 316659348799489.

Almost surely, 2^{949978046398464} 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 949978046398464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407374883553260).

949978046398464 is an abundant number, since it is smaller than the sum of its proper divisors (1864771720708056).

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

949978046398464 is an frugal number, since it uses more digits than its factorization.

949978046398464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 81266540544, while the sum is 90.

The spelling of 949978046398464 in words is "nine hundred forty-nine trillion, nine hundred seventy-eight billion, forty-six million, three hundred ninety-eight thousand, four hundred sixty-four".