1314046244456 has 128 divisors (see below), whose sum is σ = 2828313936000. Its totient is φ = 566864256000.

The previous prime is 1314046244437. The next prime is 1314046244471. The reversal of 1314046244456 is 6544426404131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 35809190 + ... + 35845866.

It is an arithmetic number, because the mean of its divisors is an integer number (22096202625).

Almost surely, 2^{1314046244456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314046244456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414156968000).

1314046244456 is an abundant number, since it is smaller than the sum of its proper divisors (1514267691544).

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

1314046244456 is a wasteful number, since it uses less digits than its factorization.

1314046244456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36963 (or 36959 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 1314046244456 in words is "one trillion, three hundred fourteen billion, forty-six million, two hundred forty-four thousand, four hundred fifty-six".