998963256960 has 192 divisors, whose sum is σ = 3452267520000. Its totient is φ = 266179958784.

The previous prime is 998963256943. The next prime is 998963257031. The reversal of 998963256960 is 69652369899.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×998963256960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 7299241 + ... + 7434839.

It is an arithmetic number, because the mean of its divisors is an integer number (17980560000).

Almost surely, 2^998963256960 is an apocalyptic number.

998963256960 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 998963256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726133760000).

998963256960 is an abundant number, since it is smaller than the sum of its proper divisors (2453304263040).

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

998963256960 is a wasteful number, since it uses less digits than its factorization.

998963256960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136903 (or 136888 counting only the distinct ones).

The product of its (nonzero) digits is 340122240, while the sum is 72.

The spelling of 998963256960 in words is "nine hundred ninety-eight billion, nine hundred sixty-three million, two hundred fifty-six thousand, nine hundred sixty".