13930661646720 has 1920 divisors, whose sum is σ = 62743110312960. Its totient is φ = 2919408500736.

The previous prime is 13930661646701. The next prime is 13930661646787. The reversal of 13930661646720 is 2764616603931.

13930661646720 is a `hidden beast` number, since 1 + 3 + 93 + 0 + 66 + 16 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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 239 ways as a sum of consecutive naturals, for example, 5184465217 + ... + 5184467903.

It is an arithmetic number, because the mean of its divisors is an integer number (32678703288).

Almost surely, 2^{13930661646720} is an apocalyptic number.

13930661646720 is a gapful number since it is divisible by the number (10) 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 13930661646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31371555156480).

13930661646720 is an abundant number, since it is smaller than the sum of its proper divisors (48812448666240).

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

13930661646720 is a wasteful number, since it uses less digits than its factorization.

13930661646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13930661646720 in words is "thirteen trillion, nine hundred thirty billion, six hundred sixty-one million, six hundred forty-six thousand, seven hundred twenty".