2514214321344 has 84 divisors (see below), whose sum is σ = 7861681543560. Its totient is φ = 761883125760.

The previous prime is 2514214321303. The next prime is 2514214321351. The reversal of 2514214321344 is 4431234124152.

2514214321344 is a `hidden beast` number, since 2 + 51 + 42 + 1 + 432 + 134 + 4 = 666.

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 = 2514214321299 and 2514214321308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198400729 + ... + 198413400.

Almost surely, 2^{2514214321344} is an apocalyptic number.

2514214321344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2514214321344 is an abundant number, since it is smaller than the sum of its proper divisors (5347467222216).

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

2514214321344 is a wasteful number, since it uses less digits than its factorization.

2514214321344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396814158 (or 396814145 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 2514214321344 its reverse (4431234124152), we get a palindrome (6945448445496).

The spelling of 2514214321344 in words is "two trillion, five hundred fourteen billion, two hundred fourteen million, three hundred twenty-one thousand, three hundred forty-four".