8944346304100 has 243 divisors, whose sum is σ = 20441011485153. Its totient is φ = 3397063749120.

The previous prime is 8944346304071. The next prime is 8944346304121. The reversal of 8944346304100 is 14036434498.

The square root of 8944346304100 is 2990710.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1257434793316 + 7686911510784 = 1121354^2 + 2772528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65287199232 + ... + 65287199368.

Almost surely, 2^{8944346304100} is an apocalyptic number.

8944346304100 is the 2990710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8944346304100

8944346304100 is an abundant number, since it is smaller than the sum of its proper divisors (11496665181053).

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

8944346304100 is a wasteful number, since it uses less digits than its factorization.

8944346304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 8944346304100 in words is "eight trillion, nine hundred forty-four billion, three hundred forty-six million, three hundred four thousand, one hundred".