90666523438848 has 576 divisors, whose sum is σ = 313173504000000. Its totient is φ = 25334545084416.

The previous prime is 90666523438823. The next prime is 90666523439027. The reversal of 90666523438848 is 84883432566609.

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

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3181378903 + ... + 3181407401.

It is an arithmetic number, because the mean of its divisors is an integer number (543704000000).

Almost surely, 2^{90666523438848} 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 90666523438848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156586752000000).

90666523438848 is an abundant number, since it is smaller than the sum of its proper divisors (222506980561152).

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

90666523438848 is a wasteful number, since it uses less digits than its factorization.

90666523438848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29977 (or 29957 counting only the distinct ones).

The product of its (nonzero) digits is 1433272320, while the sum is 72.

The spelling of 90666523438848 in words is "ninety trillion, six hundred sixty-six billion, five hundred twenty-three million, four hundred thirty-eight thousand, eight hundred forty-eight".