90004224416 has 12 divisors (see below), whose sum is σ = 177195816882. Its totient is φ = 45002112192.

The previous prime is 90004224383. The next prime is 90004224419. The reversal of 90004224416 is 61442240009.

It can be written as a sum of positive squares in only one way, i.e., 72049296400 + 17954928016 = 268420^2 + 133996^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2812632013 = 90004224416 / (9 + 0 + 0 + 0 + 4 + 2 + 2 + 4 + 4 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (90004224419) by changing a digit.

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 as a sum of consecutive naturals, namely, 1406315975 + ... + 1406316038.

Almost surely, 2^90004224416 is an apocalyptic number.

It is an amenable number.

90004224416 is a deficient number, since it is larger than the sum of its proper divisors (87191592466).

90004224416 is a wasteful number, since it uses less digits than its factorization.

90004224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812632023 (or 2812632015 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 90004224416 in words is "ninety billion, four million, two hundred twenty-four thousand, four hundred sixteen".