1334144414331 has 12 divisors (see below), whose sum is σ = 1927109751840. Its totient is φ = 889423949040.

The previous prime is 1334144414261. The next prime is 1334144414353.

1334144414331 is a `hidden beast` number, since 1 + 3 + 3 + 41 + 444 + 143 + 31 = 666.

1334144414331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1334144414331 - 2³¹ = 1331996930683 is a prime.

It is a super-2 number, since 2×1334144414331² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1334144410331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1420510 + ... + 2164748.

It is an arithmetic number, because the mean of its divisors is an integer number (160592479320).

Almost surely, 2^{1334144414331} is an apocalyptic number.

1334144414331 is a deficient number, since it is larger than the sum of its proper divisors (592965337509).

1334144414331 is a wasteful number, since it uses less digits than its factorization.

1334144414331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943426 (or 943423 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 1334144414331 in words is "one trillion, three hundred thirty-four billion, one hundred forty-four million, four hundred fourteen thousand, three hundred thirty-one".