90031245444 has 288 divisors, whose sum is σ = 284499640320. Its totient is φ = 24518894400.

The previous prime is 90031245433. The next prime is 90031245449. The reversal of 90031245444 is 44454213009.

90031245444 is a `hidden beast` number, since 90 + 0 + 3 + 1 + 24 + 544 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 90031245399 and 90031245408.

It is not an unprimeable number, because it can be changed into a prime (90031245449) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10987389 + ... + 10995579.

Almost surely, 2^90031245444 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 90031245444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142249820160).

90031245444 is an abundant number, since it is smaller than the sum of its proper divisors (194468394876).

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

90031245444 is a wasteful number, since it uses less digits than its factorization.

90031245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 90031245444 in words is "ninety billion, thirty-one million, two hundred forty-five thousand, four hundred forty-four".