12896497152 has 480 divisors, whose sum is σ = 48872229120. Its totient is φ = 3171778560.

The previous prime is 12896497129. The next prime is 12896497153. The reversal of 12896497152 is 25179469821.

It is a happy number.

12896497152 is a `hidden beast` number, since 12 + 8 + 96 + 497 + 1 + 52 = 666.

It is a super-2 number, since 2×12896497152² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12896497153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6740548 + ... + 6742460.

It is an arithmetic number, because the mean of its divisors is an integer number (101817144).

Almost surely, 2^12896497152 is an apocalyptic number.

12896497152 is a gapful number since it is divisible by the number (12) 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 12896497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24436114560).

12896497152 is an abundant number, since it is smaller than the sum of its proper divisors (35975731968).

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

12896497152 is a wasteful number, since it uses less digits than its factorization.

12896497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1955 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 12896497152 in words is "twelve billion, eight hundred ninety-six million, four hundred ninety-seven thousand, one hundred fifty-two".