2313733041216 has 189 divisors, whose sum is σ = 6748895496213. Its totient is φ = 757870871040.

The previous prime is 2313733041209. The next prime is 2313733041229. The reversal of 2313733041216 is 6121403373132.

The square root of 2313733041216 is 1521096.

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

2313733041216 is a `hidden beast` number, since 2 + 3 + 1 + 373 + 30 + 41 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75238295616 + 2238494745600 = 274296^2 + 1496160^2 .

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 26 ways as a sum of consecutive naturals, for example, 2226884025 + ... + 2226885063.

Almost surely, 2^{2313733041216} is an apocalyptic number.

2313733041216 is the 1521096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313733041216

2313733041216 is an abundant number, since it is smaller than the sum of its proper divisors (4435162454997).

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

2313733041216 is an frugal number, since it uses more digits than its factorization.

2313733041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 2313733041216 by its sum of digits (36), we get a square (83294389483776 = 9126576²).

2313733041216 divided by its sum of digits (36) gives a square (64270362256 = 253516²).

The spelling of 2313733041216 in words is "two trillion, three hundred thirteen billion, seven hundred thirty-three million, forty-one thousand, two hundred sixteen".