90255338964 has 144 divisors (see below), whose sum is σ = 273184166528. Its totient is φ = 25521205248.

The previous prime is 90255338963. The next prime is 90255338977. The reversal of 90255338964 is 46983355209.

90255338964 is a `hidden beast` number, since 9 + 0 + 2 + 553 + 3 + 89 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90255338964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90255338963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591612 + ... + 728364.

Almost surely, 2^90255338964 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 90255338964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136592083264).

90255338964 is an abundant number, since it is smaller than the sum of its proper divisors (182928827564).

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

90255338964 is a wasteful number, since it uses less digits than its factorization.

90255338964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136876 (or 136862 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 90255338964 in words is "ninety billion, two hundred fifty-five million, three hundred thirty-eight thousand, nine hundred sixty-four".