90465961918464 has 720 divisors, whose sum is σ = 289781596540800. Its totient is φ = 26967036395520.

The previous prime is 90465961918429. The next prime is 90465961918483. The reversal of 90465961918464 is 46481916956409.

It is a happy number.

90465961918464 is a `hidden beast` number, since 9 + 0 + 4 + 6 + 596 + 19 + 18 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90465961918392 and 90465961918401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26229619012 + ... + 26229622460.

It is an arithmetic number, because the mean of its divisors is an integer number (402474439640).

Almost surely, 2^{90465961918464} 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 90465961918464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144890798270400).

90465961918464 is an abundant number, since it is smaller than the sum of its proper divisors (199315634622336).

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

90465961918464 is a wasteful number, since it uses less digits than its factorization.

90465961918464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3725 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 90465961918464 in words is "ninety trillion, four hundred sixty-five billion, nine hundred sixty-one million, nine hundred eighteen thousand, four hundred sixty-four".