90480943290864 has 40 divisors (see below), whose sum is σ = 267134213526400. Its totient is φ = 25851698083008.

The previous prime is 90480943290823. The next prime is 90480943290877. The reversal of 90480943290864 is 46809234908409.

90480943290864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 90480943290795 and 90480943290804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134644260514 + ... + 134644261185.

It is an arithmetic number, because the mean of its divisors is an integer number (6678355338160).

Almost surely, 2^{90480943290864} is an apocalyptic number.

It is an amenable number.

90480943290864 is an abundant number, since it is smaller than the sum of its proper divisors (176653270235536).

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

90480943290864 is a wasteful number, since it uses less digits than its factorization.

90480943290864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269288521717 (or 269288521711 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 90480943290864 in words is "ninety trillion, four hundred eighty billion, nine hundred forty-three million, two hundred ninety thousand, eight hundred sixty-four".