939616452948096 has 3456 divisors, whose sum is σ = 3838631817646080. Its totient is φ = 223682524876800.

The previous prime is 939616452948037. The next prime is 939616452948101. The reversal of 939616452948096 is 690849254616939.

939616452948096 is a `hidden beast` number, since 9 + 3 + 9 + 6 + 1 + 6 + 4 + 529 + 4 + 80 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 294827878215 + ... + 294827881401.

Almost surely, 2^{939616452948096} is an apocalyptic number.

939616452948096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 939616452948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919315908823040).

939616452948096 is an abundant number, since it is smaller than the sum of its proper divisors (2899015364697984).

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

939616452948096 is a wasteful number, since it uses less digits than its factorization.

939616452948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3314 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 81.

The spelling of 939616452948096 in words is "nine hundred thirty-nine trillion, six hundred sixteen billion, four hundred fifty-two million, nine hundred forty-eight thousand, ninety-six".