1334939916816 has 135 divisors (see below), whose sum is σ = 4106957073037. Its totient is φ = 404481031680.

The previous prime is 1334939916763. The next prime is 1334939916839. The reversal of 1334939916816 is 6186199394331.

The square root of 1334939916816 is 1155396.

It is a perfect power (a square), and thus also a powerful number.

1334939916816 is a `hidden beast` number, since 1 + 33 + 49 + 399 + 168 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1164456810000 + 170483106816 = 1079100^2 + 412896^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152507896 + ... + 152516648.

Almost surely, 2^{1334939916816} is an apocalyptic number.

1334939916816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1334939916816 is the 1155396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334939916816

1334939916816 is an abundant number, since it is smaller than the sum of its proper divisors (2772017156221).

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

1334939916816 is an frugal number, since it uses more digits than its factorization.

1334939916816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17542 (or 8769 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 1334939916816 in words is "one trillion, three hundred thirty-four billion, nine hundred thirty-nine million, nine hundred sixteen thousand, eight hundred sixteen".