1334306010114 has 96 divisors (see below), whose sum is σ = 3611442257280. Its totient is φ = 345891916800.

The previous prime is 1334306010113. The next prime is 1334306010143. The reversal of 1334306010114 is 4110106034331.

1334306010114 is a `hidden beast` number, since 1 + 3 + 3 + 43 + 0 + 601 + 0 + 1 + 14 = 666.

It is not an unprimeable number, because it can be changed into a prime (1334306010113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240207 + ... + 1651154.

It is an arithmetic number, because the mean of its divisors is an integer number (37619190180).

Almost surely, 2^{1334306010114} is an apocalyptic number.

1334306010114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334306010114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805721128640).

1334306010114 is an abundant number, since it is smaller than the sum of its proper divisors (2277136247166).

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

1334306010114 is a wasteful number, since it uses less digits than its factorization.

1334306010114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891896 (or 1891893 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1334306010114 in words is "one trillion, three hundred thirty-four billion, three hundred six million, ten thousand, one hundred fourteen".