12896377472 has 192 divisors, whose sum is σ = 30220706880. Its totient is φ = 5464166400.

The previous prime is 12896377469. The next prime is 12896377489. The reversal of 12896377472 is 27477369821.

It is a happy number.

It is a super-2 number, since 2×12896377472² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14604743 + ... + 14605625.

It is an arithmetic number, because the mean of its divisors is an integer number (157399515).

Almost surely, 2^12896377472 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 12896377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110353440).

12896377472 is an abundant number, since it is smaller than the sum of its proper divisors (17324329408).

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

12896377472 is a wasteful number, since it uses less digits than its factorization.

12896377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 56.

The spelling of 12896377472 in words is "twelve billion, eight hundred ninety-six million, three hundred seventy-seven thousand, four hundred seventy-two".