981605377600 has 567 divisors, whose sum is σ = 2708847759459. Its totient is φ = 350015692800.

The previous prime is 981605377567. The next prime is 981605377619. The reversal of 981605377600 is 6773506189.

The square root of 981605377600 is 990760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22960734784 + 958644642816 = 151528^2 + 979104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20885220777 + ... + 20885220823.

Almost surely, 2^981605377600 is an apocalyptic number.

981605377600 is the 990760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981605377600

981605377600 is an abundant number, since it is smaller than the sum of its proper divisors (1727242381859).

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

981605377600 is a wasteful number, since it uses less digits than its factorization.

981605377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 52.

The spelling of 981605377600 in words is "nine hundred eighty-one billion, six hundred five million, three hundred seventy-seven thousand, six hundred".