14053133246130 has 384 divisors, whose sum is σ = 42078020714496. Its totient is φ = 3220797888000.

The previous prime is 14053133246101. The next prime is 14053133246143. The reversal of 14053133246130 is 3164233135041.

14053133246130 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 3 + 1 + 3 + 32 + 4 + 613 + 0 = 666.

It is a super-2 number, since 2×14053133246130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1395955357 + ... + 1395965423.

It is an arithmetic number, because the mean of its divisors is an integer number (109578178944).

Almost surely, 2^{14053133246130} is an apocalyptic number.

14053133246130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14053133246130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039010357248).

14053133246130 is an abundant number, since it is smaller than the sum of its proper divisors (28024887468366).

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

14053133246130 is a wasteful number, since it uses less digits than its factorization.

14053133246130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 14053133246130 in words is "fourteen trillion, fifty-three billion, one hundred thirty-three million, two hundred forty-six thousand, one hundred thirty".