1514352113344 has 112 divisors (see below), whose sum is σ = 3522049344000. Its totient is φ = 632499388416.

The previous prime is 1514352113327. The next prime is 1514352113431. The reversal of 1514352113344 is 4433112534151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 8561997 + ... + 8737075.

Almost surely, 2^{1514352113344} is an apocalyptic number.

1514352113344 is a gapful number since it is divisible by the number (14) 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 1514352113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761024672000).

1514352113344 is an abundant number, since it is smaller than the sum of its proper divisors (2007697230656).

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

1514352113344 is a wasteful number, since it uses less digits than its factorization.

1514352113344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175590 (or 175580 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

Adding to 1514352113344 its reverse (4433112534151), we get a palindrome (5947464647495).

The spelling of 1514352113344 in words is "one trillion, five hundred fourteen billion, three hundred fifty-two million, one hundred thirteen thousand, three hundred forty-four".