98864717952 has 512 divisors, whose sum is σ = 371179468800. Its totient is φ = 22454599680.

The previous prime is 98864717951. The next prime is 98864717957. The reversal of 98864717952 is 25971746889.

It is a super-2 number, since 2×98864717952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (98864717951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7296528 + ... + 7310064.

It is an arithmetic number, because the mean of its divisors is an integer number (724959900).

Almost surely, 2^98864717952 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 98864717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185589734400).

98864717952 is an abundant number, since it is smaller than the sum of its proper divisors (272314750848).

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

98864717952 is a wasteful number, since it uses less digits than its factorization.

98864717952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13592 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 66.

The spelling of 98864717952 in words is "ninety-eight billion, eight hundred sixty-four million, seven hundred seventeen thousand, nine hundred fifty-two".