90065110464 has 840 divisors, whose sum is σ = 334322976768. Its totient is φ = 23416335360.

The previous prime is 90065110417. The next prime is 90065110469. The reversal of 90065110464 is 46401156009.

It is a super-2 number, since 2×90065110464² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90065110469) 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, 1526527267 + ... + 1526527325.

Almost surely, 2^90065110464 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 90065110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167161488384).

90065110464 is an abundant number, since it is smaller than the sum of its proper divisors (244257866304).

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

90065110464 is a wasteful number, since it uses less digits than its factorization.

90065110464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 90065110464 in words is "ninety billion, sixty-five million, one hundred ten thousand, four hundred sixty-four".