98995792896 has 1408 divisors, whose sum is σ = 407172864000. Its totient is φ = 23410114560.

The previous prime is 98995792879. The next prime is 98995792901. The reversal of 98995792896 is 69829759989.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×98995792896³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1356106716 + ... + 1356106788.

Almost surely, 2^98995792896 is an apocalyptic number.

98995792896 is a gapful number since it is divisible by the number (96) 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 98995792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203586432000).

98995792896 is an abundant number, since it is smaller than the sum of its proper divisors (308177071104).

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

98995792896 is a wasteful number, since it uses less digits than its factorization.

98995792896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its digits is 1587237120, while the sum is 81.

The spelling of 98995792896 in words is "ninety-eight billion, nine hundred ninety-five million, seven hundred ninety-two thousand, eight hundred ninety-six".