998305193857024 has 117 divisors (see below), whose sum is σ = 2003146746644773. Its totient is φ = 497463097327616.

The previous prime is 998305193856983. The next prime is 998305193857117. The reversal of 998305193857024 is 420758391503899.

The square root of 998305193857024 is 31595968.

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

It can be written as a sum of positive squares in only one way, i.e., 809882351898624 + 188422841958400 = 28458432^2 + 13726720^2 .

It is a super-2 number, since 2×998305193857024² (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 774480366972 + ... + 774480368260.

Almost surely, 2^{998305193857024} is an apocalyptic number.

998305193857024 is the 31595968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998305193857024

998305193857024 is an abundant number, since it is smaller than the sum of its proper divisors (1004841552787749).

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

998305193857024 is an frugal number, since it uses more digits than its factorization.

998305193857024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 73.

The spelling of 998305193857024 in words is "nine hundred ninety-eight trillion, three hundred five billion, one hundred ninety-three million, eight hundred fifty-seven thousand, twenty-four".