90454710528 has 576 divisors, whose sum is σ = 339912294400. Its totient is φ = 23081656320.

The previous prime is 90454710481. The next prime is 90454710529. The reversal of 90454710528 is 82501745409.

90454710528 is a `hidden beast` number, since 9 + 0 + 4 + 54 + 71 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (90454710529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19496433 + ... + 19501071.

Almost surely, 2^90454710528 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 90454710528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169956147200).

90454710528 is an abundant number, since it is smaller than the sum of its proper divisors (249457583872).

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

90454710528 is a wasteful number, since it uses less digits than its factorization.

90454710528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4715 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 90454710528 in words is "ninety billion, four hundred fifty-four million, seven hundred ten thousand, five hundred twenty-eight".