90892224348240 has 640 divisors, whose sum is σ = 336302589542400. Its totient is φ = 19870283612160.

The previous prime is 90892224348239. The next prime is 90892224348251. The reversal of 90892224348240 is 4284342229809.

It is a super-2 number, since 2×90892224348240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2730381516 + ... + 2730414804.

It is an arithmetic number, because the mean of its divisors is an integer number (525472796160).

Almost surely, 2^{90892224348240} 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 90892224348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168151294771200).

90892224348240 is an abundant number, since it is smaller than the sum of its proper divisors (245410365194160).

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

90892224348240 is a wasteful number, since it uses less digits than its factorization.

90892224348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33955 (or 33949 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 90892224348240 in words is "ninety trillion, eight hundred ninety-two billion, two hundred twenty-four million, three hundred forty-eight thousand, two hundred forty".