13124953939968 has 1792 divisors, whose sum is σ = 46632780902400. Its totient is φ = 3611846246400.

The previous prime is 13124953939967. The next prime is 13124953939991. The reversal of 13124953939968 is 86993935942131.

13124953939968 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 95 + 393 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13124953939896 and 13124953939905.

It is not an unprimeable number, because it can be changed into a prime (13124953939967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86920224693 + ... + 86920224843.

It is an arithmetic number, because the mean of its divisors is an integer number (26022757200).

Almost surely, 2^{13124953939968} is an apocalyptic number.

13124953939968 is a gapful number since it is divisible by the number (18) 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 13124953939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23316390451200).

13124953939968 is an abundant number, since it is smaller than the sum of its proper divisors (33507826962432).

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

13124953939968 is a wasteful number, since it uses less digits than its factorization.

13124953939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 268 counting only the distinct ones).

The product of its digits is 340122240, while the sum is 72.

The spelling of 13124953939968 in words is "thirteen trillion, one hundred twenty-four billion, nine hundred fifty-three million, nine hundred thirty-nine thousand, nine hundred sixty-eight".