90031245408 has 144 divisors (see below), whose sum is σ = 280394609040. Its totient is φ = 27232330752.

The previous prime is 90031245397. The next prime is 90031245433. The reversal of 90031245408 is 80454213009.

90031245408 is a `hidden beast` number, since 9 + 0 + 0 + 3 + 1 + 245 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17110 + ... + 424682.

It is an arithmetic number, because the mean of its divisors is an integer number (1947184785).

Almost surely, 2^90031245408 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 90031245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140197304520).

90031245408 is an abundant number, since it is smaller than the sum of its proper divisors (190363363632).

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

90031245408 is a wasteful number, since it uses less digits than its factorization.

90031245408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407661 (or 407650 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 90031245408 in words is "ninety billion, thirty-one million, two hundred forty-five thousand, four hundred eight".