998160846400 has 63 divisors (see below), whose sum is σ = 2456197871059. Its totient is φ = 399248353280.

The previous prime is 998160846383. The next prime is 998160846409. The reversal of 998160846400 is 4648061899.

The square root of 998160846400 is 999080.

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 506636462656 + 491524383744 = 711784^2 + 701088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (998160846409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 39950712 + ... + 39975688.

Almost surely, 2^998160846400 is an apocalyptic number.

998160846400 is the 999080-th square number.

It is an amenable number.

998160846400 is an abundant number, since it is smaller than the sum of its proper divisors (1458037024659).

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

998160846400 is an frugal number, since it uses more digits than its factorization.

998160846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49976 (or 24984 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 998160846400 in words is "nine hundred ninety-eight billion, one hundred sixty million, eight hundred forty-six thousand, four hundred".