90243011232 has 288 divisors, whose sum is σ = 292655825280. Its totient is φ = 26110402560.

The previous prime is 90243011203. The next prime is 90243011269. The reversal of 90243011232 is 23211034209.

It is a happy number.

90243011232 is a `hidden beast` number, since 90 + 2 + 430 + 112 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 90243011196 and 90243011205.

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, 79931244 + ... + 79932372.

It is an arithmetic number, because the mean of its divisors is an integer number (1016166060).

Almost surely, 2^90243011232 is an apocalyptic number.

90243011232 is a gapful number since it is divisible by the number (92) 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 90243011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146327912640).

90243011232 is an abundant number, since it is smaller than the sum of its proper divisors (202412814048).

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

90243011232 is a wasteful number, since it uses less digits than its factorization.

90243011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 90243011232 in words is "ninety billion, two hundred forty-three million, eleven thousand, two hundred thirty-two".