90669675414528 has 1056 divisors, whose sum is σ = 329479467004800. Its totient is φ = 24491438899200.

The previous prime is 90669675414481. The next prime is 90669675414587. The reversal of 90669675414528 is 82541457696609.

90669675414528 is a `hidden beast` number, since 9 + 0 + 6 + 6 + 96 + 7 + 5 + 4 + 1 + 4 + 528 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13410686668 + ... + 13410693428.

Almost surely, 2^{90669675414528} is an apocalyptic number.

90669675414528 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90669675414528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164739733502400).

90669675414528 is an abundant number, since it is smaller than the sum of its proper divisors (238809791590272).

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

90669675414528 is a wasteful number, since it uses less digits than its factorization.

90669675414528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 7313 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 90669675414528 in words is "ninety trillion, six hundred sixty-nine billion, six hundred seventy-five million, four hundred fourteen thousand, five hundred twenty-eight".