12909548703744 has 1664 divisors, whose sum is σ = 50926893772800. Its totient is φ = 3130266746880.

The previous prime is 12909548703731. The next prime is 12909548703749. The reversal of 12909548703744 is 44730784590921.

12909548703744 is a `hidden beast` number, since 1 + 29 + 0 + 95 + 487 + 0 + 3 + 7 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12909548703749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11811114462 + ... + 11811115554.

Almost surely, 2^{12909548703744} is an apocalyptic number.

12909548703744 is a gapful number since it is divisible by the number (14) 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 12909548703744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25463446886400).

12909548703744 is an abundant number, since it is smaller than the sum of its proper divisors (38017345069056).

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

12909548703744 is a wasteful number, since it uses less digits than its factorization.

12909548703744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12909548703744 in words is "twelve trillion, nine hundred nine billion, five hundred forty-eight million, seven hundred three thousand, seven hundred forty-four".