12488691456 has 126 divisors (see below), whose sum is σ = 37376359160. Its totient is φ = 4162834944.

The previous prime is 12488691427. The next prime is 12488691569. The reversal of 12488691456 is 65419688421.

12488691456 is a `hidden beast` number, since 1 + 24 + 8 + 86 + 91 + 456 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 153165 + ... + 220083.

Almost surely, 2^12488691456 is an apocalyptic number.

12488691456 is a gapful number since it is divisible by the number (16) 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 12488691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18688179580).

12488691456 is an abundant number, since it is smaller than the sum of its proper divisors (24887667704).

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

12488691456 is an frugal number, since it uses more digits than its factorization.

12488691456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66953 (or 66924 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 12488691456 in words is "twelve billion, four hundred eighty-eight million, six hundred ninety-one thousand, four hundred fifty-six".