94564705512960 has 1920 divisors, whose sum is σ = 371597466240000. Its totient is φ = 22956627197952.

The previous prime is 94564705512869. The next prime is 94564705512967. The reversal of 94564705512960 is 6921550746549.

94564705512960 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 4 + 70 + 551 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94564705512967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90147478516 + ... + 90147479564.

It is an arithmetic number, because the mean of its divisors is an integer number (193540347000).

Almost surely, 2^{94564705512960} is an apocalyptic number.

94564705512960 is a gapful number since it is divisible by the number (90) 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 94564705512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185798733120000).

94564705512960 is an abundant number, since it is smaller than the sum of its proper divisors (277032760727040).

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

94564705512960 is a wasteful number, since it uses less digits than its factorization.

94564705512960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 94564705512960 in words is "ninety-four trillion, five hundred sixty-four billion, seven hundred five million, five hundred twelve thousand, nine hundred sixty".