13124394825696 has 576 divisors, whose sum is σ = 48521191380480. Its totient is φ = 3352986316800.

The previous prime is 13124394825683. The next prime is 13124394825719. The reversal of 13124394825696 is 69652849342131.

It is a happy number.

13124394825696 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 3 + 9 + 48 + 2 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247524180 + ... + 247577196.

It is an arithmetic number, because the mean of its divisors is an integer number (84238179480).

Almost surely, 2^{13124394825696} is an apocalyptic number.

13124394825696 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 13124394825696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24260595690240).

13124394825696 is an abundant number, since it is smaller than the sum of its proper divisors (35396796554784).

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

13124394825696 is a wasteful number, since it uses less digits than its factorization.

13124394825696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53176 (or 53101 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 13124394825696 in words is "thirteen trillion, one hundred twenty-four billion, three hundred ninety-four million, eight hundred twenty-five thousand, six hundred ninety-six".