2314305442152 has 128 divisors (see below), whose sum is σ = 7025205283200. Its totient is φ = 700088832000.

The previous prime is 2314305442147. The next prime is 2314305442247. The reversal of 2314305442152 is 2512445034132.

It is a happy number.

2314305442152 is a `hidden beast` number, since 2 + 3 + 1 + 43 + 0 + 544 + 21 + 52 = 666.

It is a super-2 number, since 2×2314305442152² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 526902 + ... + 2215002.

It is an arithmetic number, because the mean of its divisors is an integer number (54884416275).

Almost surely, 2^{2314305442152} is an apocalyptic number.

2314305442152 is a gapful number since it is divisible by the number (22) 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 2314305442152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3512602641600).

2314305442152 is an abundant number, since it is smaller than the sum of its proper divisors (4710899841048).

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

2314305442152 is a wasteful number, since it uses less digits than its factorization.

2314305442152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688704 (or 1688694 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2314305442152 in words is "two trillion, three hundred fourteen billion, three hundred five million, four hundred forty-two thousand, one hundred fifty-two".