997841166400 has 567 divisors, whose sum is σ = 2849521163151. Its totient is φ = 343692410880.

The previous prime is 997841166373. The next prime is 997841166461. The reversal of 997841166400 is 4661148799.

The square root of 997841166400 is 998920.

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

It can be written as a sum of positive squares in 40 ways, for example, as 395963113536 + 601878052864 = 629256^2 + 775808^2 .

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 80 ways as a sum of consecutive naturals, for example, 8830452744 + ... + 8830452856.

Almost surely, 2^997841166400 is an apocalyptic number.

997841166400 is the 998920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997841166400

997841166400 is an abundant number, since it is smaller than the sum of its proper divisors (1851679996751).

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

997841166400 is a wasteful number, since it uses less digits than its factorization.

997841166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

It can be divided in two parts, 997841 and 166400, that added together give a square (1164241 = 1079²).

The spelling of 997841166400 in words is "nine hundred ninety-seven billion, eight hundred forty-one million, one hundred sixty-six thousand, four hundred".