90748224288 has 270 divisors, whose sum is σ = 274161050163. Its totient is φ = 29446778880.

The previous prime is 90748224257. The next prime is 90748224293. The reversal of 90748224288 is 88242284709.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1531313424 + 89216910864 = 39132^2 + 298692^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=213012.

It is a super-2 number, since 2×90748224288² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 935548656 + ... + 935548752.

Almost surely, 2^90748224288 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 90748224288

90748224288 is an abundant number, since it is smaller than the sum of its proper divisors (183412825875).

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

90748224288 is an frugal number, since it uses more digits than its factorization.

90748224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 90748224288 in words is "ninety billion, seven hundred forty-eight million, two hundred twenty-four thousand, two hundred eighty-eight".