90465226176 has 56 divisors (see below), whose sum is σ = 257767911184. Its totient is φ = 27835453440.

The previous prime is 90465226139. The next prime is 90465226177. The reversal of 90465226176 is 67162256409.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90465226177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18119545 + ... + 18124536.

It is an arithmetic number, because the mean of its divisors is an integer number (4602998414).

Almost surely, 2^90465226176 is an apocalyptic number.

90465226176 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90465226176 is an abundant number, since it is smaller than the sum of its proper divisors (167302685008).

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

90465226176 is a wasteful number, since it uses less digits than its factorization.

90465226176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244109 (or 36244099 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 90465226176 in words is "ninety billion, four hundred sixty-five million, two hundred twenty-six thousand, one hundred seventy-six".