2314390201344 has 891 divisors, whose sum is σ = 7710077864307. Its totient is φ = 668306276352.

The previous prime is 2314390201339. The next prime is 2314390201363. The reversal of 2314390201344 is 4431020934132.

The square root of 2314390201344 is 1521312.

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

2314390201344 is a `hidden beast` number, since 2 + 31 + 4 + 390 + 201 + 34 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60068127744 + 2254322073600 = 245088^2 + 1501440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314390201299 and 2314390201308.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43667739622 + ... + 43667739674.

Almost surely, 2^{2314390201344} is an apocalyptic number.

2314390201344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2314390201344 is the 1521312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314390201344

2314390201344 is an abundant number, since it is smaller than the sum of its proper divisors (5395687662963).

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

2314390201344 is a wasteful number, since it uses less digits than its factorization.

2314390201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 2314390201344 by its sum of digits (36), we get a square (83318047248384 = 9127872²).

2314390201344 divided by its sum of digits (36) gives a square (64288616704 = 253552²).

The spelling of 2314390201344 in words is "two trillion, three hundred fourteen billion, three hundred ninety million, two hundred one thousand, three hundred forty-four".