9900314083200 has 1536 divisors, whose sum is σ = 36939485721600. Its totient is φ = 2320780492800.

The previous prime is 9900314083193. The next prime is 9900314083259. The reversal of 9900314083200 is 23804130099.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11288841162 + ... + 11288842038.

It is an arithmetic number, because the mean of its divisors is an integer number (24049144350).

Almost surely, 2^{9900314083200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9900314083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18469742860800).

9900314083200 is an abundant number, since it is smaller than the sum of its proper divisors (27039171638400).

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

9900314083200 is a wasteful number, since it uses less digits than its factorization.

9900314083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 9900314083200 in words is "nine trillion, nine hundred billion, three hundred fourteen million, eighty-three thousand, two hundred".