90683349120 has 1280 divisors, whose sum is σ = 408056140800. Its totient is φ = 18680315904.

The previous prime is 90683349089. The next prime is 90683349143. The reversal of 90683349120 is 2194338609.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221719476 + ... + 221719884.

It is an arithmetic number, because the mean of its divisors is an integer number (318793860).

Almost surely, 2^90683349120 is an apocalyptic number.

90683349120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90683349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204028070400).

90683349120 is an abundant number, since it is smaller than the sum of its proper divisors (317372791680).

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

90683349120 is a wasteful number, since it uses less digits than its factorization.

90683349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 90683349120 in words is "ninety billion, six hundred eighty-three million, three hundred forty-nine thousand, one hundred twenty".