12738345984 has 704 divisors, whose sum is σ = 47760276480. Its totient is φ = 3264675840.

The previous prime is 12738345979. The next prime is 12738346031. The reversal of 12738345984 is 48954383721.

It is a happy number.

12738345984 is a `hidden beast` number, since 12 + 7 + 3 + 8 + 34 + 598 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12738345984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153474007 + ... + 153474089.

Almost surely, 2^12738345984 is an apocalyptic number.

12738345984 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 12738345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23880138240).

12738345984 is an abundant number, since it is smaller than the sum of its proper divisors (35021930496).

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

12738345984 is a wasteful number, since it uses less digits than its factorization.

12738345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12738345984 in words is "twelve billion, seven hundred thirty-eight million, three hundred forty-five thousand, nine hundred eighty-four".