998729714115900 has 2304 divisors, whose sum is σ = 3862701091307520. Its totient is φ = 219046212403200.

The previous prime is 998729714115871. The next prime is 998729714115977. The reversal of 998729714115900 is 9511417927899.

998729714115900 is a `hidden beast` number, since 9 + 9 + 8 + 7 + 2 + 9 + 7 + 14 + 11 + 590 + 0 = 666.

998729714115900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×998729714115900² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 165161186677 + ... + 165161192723.

It is an arithmetic number, because the mean of its divisors is an integer number (1676519570880).

Almost surely, 2^{998729714115900} is an apocalyptic number.

998729714115900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998729714115900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931350545653760).

998729714115900 is an abundant number, since it is smaller than the sum of its proper divisors (2863971377191620).

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

998729714115900 is a wasteful number, since it uses less digits than its factorization.

998729714115900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 72.

The spelling of 998729714115900 in words is "nine hundred ninety-eight trillion, seven hundred twenty-nine billion, seven hundred fourteen million, one hundred fifteen thousand, nine hundred".