981789980288 has 64 divisors (see below), whose sum is σ = 2109802669800. Its totient is φ = 452394160128.

The previous prime is 981789980279. The next prime is 981789980317. The reversal of 981789980288 is 882089987189.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 564794334784 + 416995645504 = 751528^2 + 645752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×981789980288² (a number of 25 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 538778 + ... + 1501286.

Almost surely, 2^981789980288 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 981789980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054901334900).

981789980288 is an abundant number, since it is smaller than the sum of its proper divisors (1128012689512).

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

981789980288 is a wasteful number, since it uses less digits than its factorization.

981789980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963149 (or 963137 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 77.

The spelling of 981789980288 in words is "nine hundred eighty-one billion, seven hundred eighty-nine million, nine hundred eighty thousand, two hundred eighty-eight".