90224842320 has 120 divisors (see below), whose sum is σ = 304864418976. Its totient is φ = 23912319744.

The previous prime is 90224842307. The next prime is 90224842333. The reversal of 90224842320 is 2324842209.

90224842320 is a `hidden beast` number, since 9 + 0 + 224 + 8 + 423 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90224842307) and next prime (90224842333).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267034 + ... + 501753.

Almost surely, 2^90224842320 is an apocalyptic number.

90224842320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90224842320 is an abundant number, since it is smaller than the sum of its proper divisors (214639576656).

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

90224842320 is a wasteful number, since it uses less digits than its factorization.

90224842320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768969 (or 768960 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 90224842320 in words is "ninety billion, two hundred twenty-four million, eight hundred forty-two thousand, three hundred twenty".