12945683520 has 1344 divisors, whose sum is σ = 60321139200. Its totient is φ = 2554675200.

The previous prime is 12945683507. The next prime is 12945683557. The reversal of 12945683520 is 2538654921.

12945683520 is a `hidden beast` number, since 1 + 2 + 9 + 45 + 6 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212224290 + ... + 212224350.

It is an arithmetic number, because the mean of its divisors is an integer number (44881800).

Almost surely, 2^12945683520 is an apocalyptic number.

12945683520 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 12945683520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30160569600).

12945683520 is an abundant number, since it is smaller than the sum of its proper divisors (47375455680).

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

12945683520 is a wasteful number, since it uses less digits than its factorization.

12945683520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12945683520 in words is "twelve billion, nine hundred forty-five million, six hundred eighty-three thousand, five hundred twenty".