1314400106511 has 24 divisors (see below), whose sum is σ = 1991377911744. Its totient is φ = 834443760960.

The previous prime is 1314400106497. The next prime is 1314400106519. The reversal of 1314400106511 is 1156010044131.

1314400106511 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 0 + 0 + 1 + 0 + 651 + 1 = 666.

It is not a de Polignac number, because 1314400106511 - 2⁶ = 1314400106447 is a prime.

It is a super-2 number, since 2×1314400106511² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314400106519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41975280 + ... + 42006581.

It is an arithmetic number, because the mean of its divisors is an integer number (82974079656).

Almost surely, 2^{1314400106511} is an apocalyptic number.

1314400106511 is a deficient number, since it is larger than the sum of its proper divisors (676977805233).

1314400106511 is a wasteful number, since it uses less digits than its factorization.

1314400106511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83981951 (or 83981948 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 1314400106511 in words is "one trillion, three hundred fourteen billion, four hundred million, one hundred six thousand, five hundred eleven".