90225890352 has 360 divisors, whose sum is σ = 289228238208. Its totient is φ = 26202009600.

The previous prime is 90225890351. The next prime is 90225890411. The reversal of 90225890352 is 25309852209.

It is a super-2 number, since 2×90225890352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90225890298 and 90225890307.

It is not an unprimeable number, because it can be changed into a prime (90225890351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30929598 + ... + 30932514.

Almost surely, 2^90225890352 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 90225890352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144614119104).

90225890352 is an abundant number, since it is smaller than the sum of its proper divisors (199002347856).

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

90225890352 is a wasteful number, since it uses less digits than its factorization.

90225890352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 90225890352 in words is "ninety billion, two hundred twenty-five million, eight hundred ninety thousand, three hundred fifty-two".