90368358912 has 400 divisors, whose sum is σ = 299899471872. Its totient is φ = 26903715840.

The previous prime is 90368358911. The next prime is 90368358937. The reversal of 90368358912 is 21985386309.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90368358911) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16710513 + ... + 16715919.

Almost surely, 2^90368358912 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 90368358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149949735936).

90368358912 is an abundant number, since it is smaller than the sum of its proper divisors (209531112960).

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

90368358912 is a wasteful number, since it uses less digits than its factorization.

90368358912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5481 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 90368358912 in words is "ninety billion, three hundred sixty-eight million, three hundred fifty-eight thousand, nine hundred twelve".