990456929280 has 1584 divisors, whose sum is σ = 4409525300544. Its totient is φ = 203630837760.

The previous prime is 990456929201. The next prime is 990456929291. The reversal of 990456929280 is 82929654099.

990456929280 is a `hidden beast` number, since 9 + 9 + 0 + 456 + 92 + 92 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 in 143 ways as a sum of consecutive naturals, for example, 1203470949 + ... + 1203471771.

Almost surely, 2^990456929280 is an apocalyptic number.

990456929280 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 990456929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204762650272).

990456929280 is an abundant number, since it is smaller than the sum of its proper divisors (3419068371264).

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

990456929280 is a wasteful number, since it uses less digits than its factorization.

990456929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 990456929280 in words is "nine hundred ninety billion, four hundred fifty-six million, nine hundred twenty-nine thousand, two hundred eighty".