9898524100864 has 135 divisors (see below), whose sum is σ = 23055819517913. Its totient is φ = 4241167494144.

The previous prime is 9898524100847. The next prime is 9898524100873. The reversal of 9898524100864 is 4680014258989.

The square root of 9898524100864 is 3146192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8301313440000 + 1597210660864 = 2881200^2 + 1263808^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 9898524100796 and 9898524100805.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2466612522 + ... + 2466616534.

Almost surely, 2^{9898524100864} is an apocalyptic number.

9898524100864 is the 3146192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9898524100864

9898524100864 is an abundant number, since it is smaller than the sum of its proper divisors (13157295417049).

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

9898524100864 is an frugal number, since it uses more digits than its factorization.

9898524100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 64.

Multiplying 9898524100864 by its sum of digits (64), we get a square (633505542455296 = 25169536²).

9898524100864 divided by its sum of digits (64) gives a square (154664439076 = 393274²).

The spelling of 9898524100864 in words is "nine trillion, eight hundred ninety-eight billion, five hundred twenty-four million, one hundred thousand, eight hundred sixty-four".