9641211300900 has 729 divisors, whose sum is σ = 32433328462899. Its totient is φ = 2395394023680.

The previous prime is 9641211300883. The next prime is 9641211300923. The reversal of 9641211300900 is 90031121469.

It is a happy number.

The square root of 9641211300900 is 3105030.

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

9641211300900 is a `hidden beast` number, since 9 + 641 + 2 + 1 + 1 + 3 + 0 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 132523665444 + 9508687635456 = 364038^2 + 3083616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 116159172259 + ... + 116159172341.

Almost surely, 2^{9641211300900} is an apocalyptic number.

9641211300900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9641211300900 is the 3105030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9641211300900

9641211300900 is an abundant number, since it is smaller than the sum of its proper divisors (22792117161999).

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

9641211300900 is a wasteful number, since it uses less digits than its factorization.

9641211300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

Multiplying 9641211300900 by its sum of digits (36), we get a square (347083606832400 = 18630180²).

9641211300900 divided by its sum of digits (36) gives a square (267811425025 = 517505²).

The spelling of 9641211300900 in words is "nine trillion, six hundred forty-one billion, two hundred eleven million, three hundred thousand, nine hundred".