981763905600 has 567 divisors, whose sum is σ = 3657920042413. Its totient is φ = 249723386880.

The previous prime is 981763905593. The next prime is 981763905601. The reversal of 981763905600 is 6509367189.

The square root of 981763905600 is 990840.

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

981763905600 is a `hidden beast` number, since 9 + 8 + 1 + 76 + 3 + 9 + 0 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 353435006016 + 628328899584 = 594504^2 + 792672^2 .

It is a super-2 number, since 2×981763905600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981763905601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2734718221 + ... + 2734718579.

Almost surely, 2^981763905600 is an apocalyptic number.

981763905600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

981763905600 is the 990840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981763905600

981763905600 is an abundant number, since it is smaller than the sum of its proper divisors (2676156136813).

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

981763905600 is a wasteful number, since it uses less digits than its factorization.

981763905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 981763905600 in words is "nine hundred eighty-one billion, seven hundred sixty-three million, nine hundred five thousand, six hundred".