988493292900 has 135 divisors (see below), whose sum is σ = 3204594827049. Its totient is φ = 263574349920.

The previous prime is 988493292887. The next prime is 988493292923. The reversal of 988493292900 is 9292394889.

The square root of 988493292900 is 994230.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 355857585444 + 632635707456 = 596538^2 + 795384^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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 44 ways as a sum of consecutive naturals, for example, 89475177 + ... + 89486223.

Almost surely, 2^988493292900 is an apocalyptic number.

988493292900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

988493292900 is the 994230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988493292900

988493292900 is an abundant number, since it is smaller than the sum of its proper divisors (2216101534149).

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

988493292900 is an equidigital number, since it uses as much as digits as its factorization.

988493292900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22120 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 988493292900 in words is "nine hundred eighty-eight billion, four hundred ninety-three million, two hundred ninety-two thousand, nine hundred".