90349468200 has 192 divisors, whose sum is σ = 329510160000. Its totient is φ = 22675921920.

The previous prime is 90349468177. The next prime is 90349468213. The reversal of 90349468200 is 286494309.

It is a super-2 number, since 2×90349468200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400300 + ... + 583899.

It is an arithmetic number, because the mean of its divisors is an integer number (1716198750).

Almost surely, 2^90349468200 is an apocalyptic number.

90349468200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90349468200 is an abundant number, since it is smaller than the sum of its proper divisors (239160691800).

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

90349468200 is a wasteful number, since it uses less digits than its factorization.

90349468200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984241 (or 984226 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 90349468200 in words is "ninety billion, three hundred forty-nine million, four hundred sixty-eight thousand, two hundred".