998329735656 has 192 divisors, whose sum is σ = 3128462326080. Its totient is φ = 284241315840.

The previous prime is 998329735631. The next prime is 998329735679. The reversal of 998329735656 is 656537923899.

998329735656 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 2×998329735656² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7840210 + ... + 7966526.

It is an arithmetic number, because the mean of its divisors is an integer number (16294074615).

Almost surely, 2^998329735656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998329735656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564231163040).

998329735656 is an abundant number, since it is smaller than the sum of its proper divisors (2130132590424).

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

998329735656 is a wasteful number, since it uses less digits than its factorization.

998329735656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126944 (or 126937 counting only the distinct ones).

The product of its digits is 661348800, while the sum is 72.

The spelling of 998329735656 in words is "nine hundred ninety-eight billion, three hundred twenty-nine million, seven hundred thirty-five thousand, six hundred fifty-six".