90494269320 has 512 divisors, whose sum is σ = 356235264000. Its totient is φ = 17856184320.

The previous prime is 90494269297. The next prime is 90494269343. The reversal of 90494269320 is 2396249409.

It is an interprime number because it is at equal distance from previous prime (90494269297) and next prime (90494269343).

It is a self number, because there is not a number n which added to its sum of digits gives 90494269320.

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 127 ways as a sum of consecutive naturals, for example, 16388160 + ... + 16393680.

It is an arithmetic number, because the mean of its divisors is an integer number (695772000).

Almost surely, 2^90494269320 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 90494269320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178117632000).

90494269320 is an abundant number, since it is smaller than the sum of its proper divisors (265740994680).

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

90494269320 is a wasteful number, since it uses less digits than its factorization.

90494269320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 90494269320 in words is "ninety billion, four hundred ninety-four million, two hundred sixty-nine thousand, three hundred twenty".