12353376672 has 648 divisors, whose sum is σ = 46950586956. Its totient is φ = 3053223936.

The previous prime is 12353376671. The next prime is 12353376727. The reversal of 12353376672 is 27667335321.

It can be written as a sum of positive squares in 6 ways, for example, as 5451754896 + 6901621776 = 73836^2 + 83076^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12353376671) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53018668 + ... + 53018900.

Almost surely, 2^12353376672 is an apocalyptic number.

12353376672 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 12353376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23475293478).

12353376672 is an abundant number, since it is smaller than the sum of its proper divisors (34597210284).

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

12353376672 is a wasteful number, since it uses less digits than its factorization.

12353376672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 275 counting only the distinct ones).

The product of its digits is 952560, while the sum is 45.

The spelling of 12353376672 in words is "twelve billion, three hundred fifty-three million, three hundred seventy-six thousand, six hundred seventy-two".