90816046006 has 96 divisors (see below), whose sum is σ = 166451345280. Its totient is φ = 37020582144.

The previous prime is 90816045937. The next prime is 90816046019. The reversal of 90816046006 is 60064061809.

It is a self number, because there is not a number n which added to its sum of digits gives 90816046006.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 26607156 + ... + 26610568.

It is an arithmetic number, because the mean of its divisors is an integer number (1733868180).

Almost surely, 2^90816046006 is an apocalyptic number.

90816046006 is a deficient number, since it is larger than the sum of its proper divisors (75635299274).

90816046006 is a wasteful number, since it uses less digits than its factorization.

90816046006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 90816046006 in words is "ninety billion, eight hundred sixteen million, forty-six thousand, six".