94521407827392 has 3360 divisors, whose sum is σ = 384549743350080. Its totient is φ = 22890075586560.

The previous prime is 94521407827391. The next prime is 94521407827447. The reversal of 94521407827392 is 29372870412549.

94521407827392 is a `hidden beast` number, since 9 + 4 + 5 + 214 + 0 + 7 + 8 + 27 + 392 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94521407827391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2305400190892 + ... + 2305400190932.

It is an arithmetic number, because the mean of its divisors is an integer number (114449328378).

Almost surely, 2^{94521407827392} 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 94521407827392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192274871675040).

94521407827392 is an abundant number, since it is smaller than the sum of its proper divisors (290028335522688).

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

94521407827392 is an frugal number, since it uses more digits than its factorization.

94521407827392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 94521407827392 in words is "ninety-four trillion, five hundred twenty-one billion, four hundred seven million, eight hundred twenty-seven thousand, three hundred ninety-two".