98017919964 has 96 divisors (see below), whose sum is σ = 264665318400. Its totient is φ = 31341764160.

The previous prime is 98017919941. The next prime is 98017919977. The reversal of 98017919964 is 46991971089.

It is a super-2 number, since 2×98017919964² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 110977 + ... + 456455.

It is an arithmetic number, because the mean of its divisors is an integer number (2756930400).

Almost surely, 2^98017919964 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 98017919964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132332659200).

98017919964 is an abundant number, since it is smaller than the sum of its proper divisors (166647398436).

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

98017919964 is a wasteful number, since it uses less digits than its factorization.

98017919964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345600 (or 345592 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 98017919964 in words is "ninety-eight billion, seventeen million, nine hundred nineteen thousand, nine hundred sixty-four".