90818364480 has 224 divisors, whose sum is σ = 303824640000. Its totient is φ = 22920910848.

The previous prime is 90818364473. The next prime is 90818364487. The reversal of 90818364480 is 8446381809.

It is an interprime number because it is at equal distance from previous prime (90818364473) and next prime (90818364487).

It is not an unprimeable number, because it can be changed into a prime (90818364487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25953771 + ... + 25957269.

It is an arithmetic number, because the mean of its divisors is an integer number (1356360000).

Almost surely, 2^90818364480 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 90818364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151912320000).

90818364480 is an abundant number, since it is smaller than the sum of its proper divisors (213006275520).

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

90818364480 is a wasteful number, since it uses less digits than its factorization.

90818364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4961 (or 4951 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 90818364480 in words is "ninety billion, eight hundred eighteen million, three hundred sixty-four thousand, four hundred eighty".