1314849795560 has 128 divisors (see below), whose sum is σ = 3394140710400. Its totient is φ = 449062548480.

The previous prime is 1314849795559. The next prime is 1314849795563. The reversal of 1314849795560 is 655979484131.

It is a happy number.

It is a Cunningham number, because it is equal to 1146669²-1.

It is a junction number, because it is equal to n+sod(n) for n = 1314849795493 and 1314849795502.

It is not an unprimeable number, because it can be changed into a prime (1314849795563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80258570 + ... + 80274950.

It is an arithmetic number, because the mean of its divisors is an integer number (26516724300).

Almost surely, 2^{1314849795560} is an apocalyptic number.

1314849795560 is a gapful number since it is divisible by the number (10) 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 1314849795560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697070355200).

1314849795560 is an abundant number, since it is smaller than the sum of its proper divisors (2079290914840).

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

1314849795560 is a wasteful number, since it uses less digits than its factorization.

1314849795560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17491 (or 17487 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 62.

The spelling of 1314849795560 in words is "one trillion, three hundred fourteen billion, eight hundred forty-nine million, seven hundred ninety-five thousand, five hundred sixty".