90230231113200 has 480 divisors, whose sum is σ = 323820343616000. Its totient is φ = 23862326906880.

The previous prime is 90230231113147. The next prime is 90230231113229. The reversal of 90230231113200 is 231113203209.

90230231113200 is a `hidden beast` number, since 9 + 0 + 2 + 302 + 31 + 1 + 1 + 320 + 0 = 666.

It is a super-2 number, since 2×90230231113200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 659736024 + ... + 659872776.

Almost surely, 2^{90230231113200} is an apocalyptic number.

90230231113200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90230231113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161910171808000).

90230231113200 is an abundant number, since it is smaller than the sum of its proper divisors (233590112502800).

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

90230231113200 is a wasteful number, since it uses less digits than its factorization.

90230231113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137286 (or 137269 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 90230231113200 its reverse (231113203209), we get a palindrome (90461344316409).

The spelling of 90230231113200 in words is "ninety trillion, two hundred thirty billion, two hundred thirty-one million, one hundred thirteen thousand, two hundred".