90333333312 has 224 divisors, whose sum is σ = 254393395200. Its totient is φ = 28239052800.

The previous prime is 90333333289. The next prime is 90333333319. The reversal of 90333333312 is 21333333309.

It is a super-2 number, since 2×90333333312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90333333319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61408737 + ... + 61410207.

It is an arithmetic number, because the mean of its divisors is an integer number (1135684800).

Almost surely, 2^90333333312 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 90333333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127196697600).

90333333312 is an abundant number, since it is smaller than the sum of its proper divisors (164060061888).

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

90333333312 is a wasteful number, since it uses less digits than its factorization.

90333333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 33.

The spelling of 90333333312 in words is "ninety billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred twelve".