99963468900 has 189 divisors, whose sum is σ = 325510287753. Its totient is φ = 26634160800.

The previous prime is 99963468853. The next prime is 99963468923. The reversal of 99963468900 is 986436999.

The square root of 99963468900 is 316170.

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., 35986848804 + 63976620096 = 189702^2 + 252936^2 .

It is a super-2 number, since 2×99963468900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 85365315 + ... + 85366485.

Almost surely, 2^99963468900 is an apocalyptic number.

99963468900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99963468900 is the 316170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99963468900

99963468900 is an abundant number, since it is smaller than the sum of its proper divisors (225546818853).

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

99963468900 is an equidigital number, since it uses as much as digits as its factorization.

99963468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 99963468900 in words is "ninety-nine billion, nine hundred sixty-three million, four hundred sixty-eight thousand, nine hundred".