98633012365888 has 1792 divisors, whose sum is σ = 289869189120000. Its totient is φ = 32988265390080.

The previous prime is 98633012365871. The next prime is 98633012365903. The reversal of 98633012365888 is 88856321033689.

It is a super-2 number, since 2×98633012365888² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 570133019370 + ... + 570133019542.

It is an arithmetic number, because the mean of its divisors is an integer number (161757360000).

Almost surely, 2^{98633012365888} is an apocalyptic number.

98633012365888 is a gapful number since it is divisible by the number (98) 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 98633012365888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144934594560000).

98633012365888 is an abundant number, since it is smaller than the sum of its proper divisors (191236176754112).

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

98633012365888 is a wasteful number, since it uses less digits than its factorization.

98633012365888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 70.

The spelling of 98633012365888 in words is "ninety-eight trillion, six hundred thirty-three billion, twelve million, three hundred sixty-five thousand, eight hundred eighty-eight".