90694459979424 has 576 divisors, whose sum is σ = 321832927503360. Its totient is φ = 24543467182080.

The previous prime is 90694459979413. The next prime is 90694459979437. The reversal of 90694459979424 is 42497995449609.

90694459979424 is a `hidden beast` number, since 9 + 0 + 6 + 94 + 459 + 9 + 79 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7532130844 + ... + 7532142884.

It is an arithmetic number, because the mean of its divisors is an integer number (558737721360).

Almost surely, 2^{90694459979424} 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 90694459979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160916463751680).

90694459979424 is an abundant number, since it is smaller than the sum of its proper divisors (231138467523936).

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

90694459979424 is a wasteful number, since it uses less digits than its factorization.

90694459979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19375 (or 19355 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 90694459979424 in words is "ninety trillion, six hundred ninety-four billion, four hundred fifty-nine million, nine hundred seventy-nine thousand, four hundred twenty-four".