90345452664 has 128 divisors (see below), whose sum is σ = 244581638400. Its totient is φ = 27706398720.

The previous prime is 90345452663. The next prime is 90345452761. The reversal of 90345452664 is 46625454309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90345452663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3568402 + ... + 3593630.

It is an arithmetic number, because the mean of its divisors is an integer number (1910794050).

Almost surely, 2^90345452664 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 90345452664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122290819200).

90345452664 is an abundant number, since it is smaller than the sum of its proper divisors (154236185736).

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

90345452664 is a wasteful number, since it uses less digits than its factorization.

90345452664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25453 (or 25449 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 90345452664 in words is "ninety billion, three hundred forty-five million, four hundred fifty-two thousand, six hundred sixty-four".