90362397312 has 960 divisors, whose sum is σ = 330923577600. Its totient is φ = 24305909760.

The previous prime is 90362397287. The next prime is 90362397313. The reversal of 90362397312 is 21379326309.

90362397312 is a `hidden beast` number, since 9 + 0 + 3 + 623 + 9 + 7 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (90362397313) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 405212433 + ... + 405212655.

It is an arithmetic number, because the mean of its divisors is an integer number (344712060).

Almost surely, 2^90362397312 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 90362397312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165461788800).

90362397312 is an abundant number, since it is smaller than the sum of its proper divisors (240561180288).

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

90362397312 is a wasteful number, since it uses less digits than its factorization.

90362397312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 90362397312 in words is "ninety billion, three hundred sixty-two million, three hundred ninety-seven thousand, three hundred twelve".