13964083845120 has 192 divisors, whose sum is σ = 49637955276000. Its totient is φ = 3723755618304.

The previous prime is 13964083845113. The next prime is 13964083845121. The reversal of 13964083845120 is 2154838046931.

It is a happy number.

13964083845120 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 40 + 8 + 3 + 84 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13964083845121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24976855 + ... + 25529814.

Almost surely, 2^{13964083845120} is an apocalyptic number.

13964083845120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13964083845120 is an abundant number, since it is smaller than the sum of its proper divisors (35673871430880).

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

13964083845120 is an equidigital number, since it uses as much as digits as its factorization.

13964083845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50506705 (or 50506679 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 13964083845120 in words is "thirteen trillion, nine hundred sixty-four billion, eighty-three million, eight hundred forty-five thousand, one hundred twenty".