12914549383680 has 2880 divisors, whose sum is σ = 56482814868480. Its totient is φ = 2817407287296.

The previous prime is 12914549383663. The next prime is 12914549383693. The reversal of 12914549383680 is 8638394541921.

12914549383680 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 4 + 5 + 493 + 83 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77332630957 + ... + 77332631123.

It is an arithmetic number, because the mean of its divisors is an integer number (19612088496).

Almost surely, 2^{12914549383680} is an apocalyptic number.

12914549383680 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 12914549383680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28241407434240).

12914549383680 is an abundant number, since it is smaller than the sum of its proper divisors (43568265484800).

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

12914549383680 is an equidigital number, since it uses as much as digits as its factorization.

12914549383680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12914549383680 in words is "twelve trillion, nine hundred fourteen billion, five hundred forty-nine million, three hundred eighty-three thousand, six hundred eighty".