1334681480016 has 100 divisors (see below), whose sum is σ = 3865243501812. Its totient is φ = 444630311424.

The previous prime is 1334681479993. The next prime is 1334681480137. The reversal of 1334681480016 is 6100841864331.

1334681480016 is a `hidden beast` number, since 1 + 33 + 468 + 148 + 0 + 0 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420370689600 + 914310790416 = 648360^2 + 956196^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1889980 + ... + 2498276.

Almost surely, 2^{1334681480016} is an apocalyptic number.

1334681480016 is a gapful number since it is divisible by the number (16) 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 1334681480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932621750906).

1334681480016 is an abundant number, since it is smaller than the sum of its proper divisors (2530562021796).

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

1334681480016 is a wasteful number, since it uses less digits than its factorization.

1334681480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610010 (or 609995 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1334681480016 in words is "one trillion, three hundred thirty-four billion, six hundred eighty-one million, four hundred eighty thousand, sixteen".