93522090961152 has 324 divisors, whose sum is σ = 319589630434620. Its totient is φ = 26216433524736.

The previous prime is 93522090961133. The next prime is 93522090961163. The reversal of 93522090961152 is 25116909022539.

93522090961152 is a `hidden beast` number, since 9 + 3 + 522 + 0 + 9 + 0 + 9 + 61 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79167570483456 + 14354520477696 = 8897616^2 + 3788736^2 .

It is a super-3 number, since 3×93522090961152³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1831527 + ... + 13798502.

It is an arithmetic number, because the mean of its divisors is an integer number (986387748255).

Almost surely, 2^{93522090961152} 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 93522090961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159794815217310).

93522090961152 is an abundant number, since it is smaller than the sum of its proper divisors (226067539473468).

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

93522090961152 is a wasteful number, since it uses less digits than its factorization.

93522090961152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15630118 (or 15630094 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 93522090961152 in words is "ninety-three trillion, five hundred twenty-two billion, ninety million, nine hundred sixty-one thousand, one hundred fifty-two".