13945112616960 has 1680 divisors, whose sum is σ = 58559585767056. Its totient is φ = 3178424696832.

The previous prime is 13945112616959. The next prime is 13945112617039. The reversal of 13945112616960 is 6961621154931.

13945112616960 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 5 + 1 + 12 + 616 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 13945112616897 and 13945112616906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39504568144 + ... + 39504568496.

Almost surely, 2^{13945112616960} is an apocalyptic number.

13945112616960 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 13945112616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279792883528).

13945112616960 is an abundant number, since it is smaller than the sum of its proper divisors (44614473150096).

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

13945112616960 is an frugal number, since it uses more digits than its factorization.

13945112616960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 13945112616960 in words is "thirteen trillion, nine hundred forty-five billion, one hundred twelve million, six hundred sixteen thousand, nine hundred sixty".