12496262688 has 480 divisors, whose sum is σ = 46718622720. Its totient is φ = 3187537920.

The previous prime is 12496262651. The next prime is 12496262791. The reversal of 12496262688 is 88626269421.

12496262688 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 6 + 2 + 626 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7311178 + ... + 7312886.

It is an arithmetic number, because the mean of its divisors is an integer number (97330464).

Almost surely, 2^12496262688 is an apocalyptic number.

12496262688 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 12496262688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

12496262688 is an abundant number, since it is smaller than the sum of its proper divisors (34222360032).

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

12496262688 is a wasteful number, since it uses less digits than its factorization.

12496262688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1765 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 12496262688 in words is "twelve billion, four hundred ninety-six million, two hundred sixty-two thousand, six hundred eighty-eight".