12748039968 has 192 divisors, whose sum is σ = 38005511040. Its totient is φ = 3716923392.

The previous prime is 12748039963. The next prime is 12748039973. The reversal of 12748039968 is 86993084721.

It is an interprime number because it is at equal distance from previous prime (12748039963) and next prime (12748039973).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (12748039963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639546 + ... + 1647302.

It is an arithmetic number, because the mean of its divisors is an integer number (197945370).

Almost surely, 2^12748039968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12748039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002755520).

12748039968 is an abundant number, since it is smaller than the sum of its proper divisors (25257471072).

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

12748039968 is a wasteful number, since it uses less digits than its factorization.

12748039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 12748039968 in words is "twelve billion, seven hundred forty-eight million, thirty-nine thousand, nine hundred sixty-eight".