2313218160000 has 960 divisors, whose sum is σ = 9200779370640. Its totient is φ = 552960000000.

The previous prime is 2313218159977. The next prime is 2313218160017. The reversal of 2313218160000 is 618123132.

It is a happy number.

2313218160000 is a `hidden beast` number, since 2 + 31 + 3 + 21 + 8 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 578158000 + ... + 578162000.

Almost surely, 2^{2313218160000} is an apocalyptic number.

2313218160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313218160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600389685320).

2313218160000 is an abundant number, since it is smaller than the sum of its proper divisors (6887561210640).

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

2313218160000 is a wasteful number, since it uses less digits than its factorization.

2313218160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2313218160000 in words is "two trillion, three hundred thirteen billion, two hundred eighteen million, one hundred sixty thousand".