2329316964100 has 81 divisors (see below), whose sum is σ = 5880131230197. Its totient is φ = 798586330080.

The previous prime is 2329316964097. The next prime is 2329316964113. The reversal of 2329316964100 is 14696139232.

The square root of 2329316964100 is 1526210.

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., 838554107076 + 1490762857024 = 915726^2 + 1220968^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106823799 + ... + 106845601.

Almost surely, 2^{2329316964100} is an apocalyptic number.

2329316964100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2329316964100 is the 1526210-th square number.

It is an amenable number.

2329316964100 is an abundant number, since it is smaller than the sum of its proper divisors (3550814266097).

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

2329316964100 is an frugal number, since it uses more digits than its factorization.

2329316964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43634 (or 21817 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 2329316964100 in words is "two trillion, three hundred twenty-nine billion, three hundred sixteen million, nine hundred sixty-four thousand, one hundred".