9972818496 has 315 divisors, whose sum is σ = 31633630281. Its totient is φ = 3106169856.

The previous prime is 9972818489. The next prime is 9972818501. The reversal of 9972818496 is 6948182799.

The square root of 9972818496 is 99864.

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., 5661057600 + 4311760896 = 75240^2 + 65664^2 .

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 136613916 + ... + 136613988.

Almost surely, 2^9972818496 is an apocalyptic number.

9972818496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9972818496 is the 99864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972818496

9972818496 is an abundant number, since it is smaller than the sum of its proper divisors (21660811785).

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

9972818496 is an equidigital number, since it uses as much as digits as its factorization.

9972818496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 97 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The cubic root of 9972818496 is about 2152.4808928848.

The spelling of 9972818496 in words is "nine billion, nine hundred seventy-two million, eight hundred eighteen thousand, four hundred ninety-six".