90094613232000 has 1024 divisors, whose sum is σ = 326548037088000. Its totient is φ = 21839531212800.

The previous prime is 90094613231881. The next prime is 90094613232053. The reversal of 90094613232000 is 23231649009.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 90094613232000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42317806936 + ... + 42317809064.

Almost surely, 2^{90094613232000} 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 90094613232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163274018544000).

90094613232000 is an abundant number, since it is smaller than the sum of its proper divisors (236453423856000).

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

90094613232000 is a wasteful number, since it uses less digits than its factorization.

90094613232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 90094613232000 in words is "ninety trillion, ninety-four billion, six hundred thirteen million, two hundred thirty-two thousand".