12724472248384 has 224 divisors, whose sum is σ = 29134158562656. Its totient is φ = 5461864611840.

The previous prime is 12724472248379. The next prime is 12724472248417. The reversal of 12724472248384 is 48384227442721.

It can be written as a sum of positive squares in 16 ways, for example, as 3120423326784 + 9604048921600 = 1766472^2 + 3099040^2 .

It is a super-2 number, since 2×12724472248384² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 923327574 + ... + 923341354.

It is an arithmetic number, because the mean of its divisors is an integer number (130063207869).

Almost surely, 2^{12724472248384} 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 12724472248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567079281328).

12724472248384 is an abundant number, since it is smaller than the sum of its proper divisors (16409686314272).

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

12724472248384 is a wasteful number, since it uses less digits than its factorization.

12724472248384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14593 (or 14583 counting only the distinct ones).

The product of its digits is 38535168, while the sum is 58.

The spelling of 12724472248384 in words is "twelve trillion, seven hundred twenty-four billion, four hundred seventy-two million, two hundred forty-eight thousand, three hundred eighty-four".