12787692948 has 72 divisors (see below), whose sum is σ = 32890876200. Its totient is φ = 4188312576.

The previous prime is 12787692947. The next prime is 12787692997. The reversal of 12787692948 is 84929678721.

12787692948 is a `hidden beast` number, since 1 + 278 + 76 + 9 + 294 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2004531984 + 10783160964 = 44772^2 + 103842^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12787692947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697888 + ... + 715976.

It is an arithmetic number, because the mean of its divisors is an integer number (456817725).

Almost surely, 2^12787692948 is an apocalyptic number.

12787692948 is a gapful number since it is divisible by the number (18) 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 12787692948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445438100).

12787692948 is an abundant number, since it is smaller than the sum of its proper divisors (20103183252).

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

12787692948 is a wasteful number, since it uses less digits than its factorization.

12787692948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441 (or 18436 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 12787692948 in words is "twelve billion, seven hundred eighty-seven million, six hundred ninety-two thousand, nine hundred forty-eight".