90578489970312 has 24 divisors (see below), whose sum is σ = 245316743669790. Its totient is φ = 30192829990080.

The previous prime is 90578489970271. The next prime is 90578489970343. The reversal of 90578489970312 is 21307998487509.

90578489970312 is a `hidden beast` number, since 9 + 0 + 5 + 78 + 489 + 9 + 70 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51225025151556 + 39353464818756 = 7157166^2 + 6273234^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1258034582921 = 90578489970312 / (9 + 0 + 5 + 7 + 8 + 4 + 8 + 9 + 9 + 7 + 0 + 3 + 1 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 629017291389 + ... + 629017291532.

Almost surely, 2^{90578489970312} is an apocalyptic number.

It is an amenable number.

90578489970312 is an abundant number, since it is smaller than the sum of its proper divisors (154738253699478).

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

90578489970312 is a wasteful number, since it uses less digits than its factorization.

90578489970312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258034582933 (or 1258034582926 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 90578489970312 in words is "ninety trillion, five hundred seventy-eight billion, four hundred eighty-nine million, nine hundred seventy thousand, three hundred twelve".