13046882116968 has 640 divisors, whose sum is σ = 45336132864000. Its totient is φ = 3423280734720.

The previous prime is 13046882116949. The next prime is 13046882116979. The reversal of 13046882116968 is 86961128864031.

13046882116968 is a `hidden beast` number, since 1 + 3 + 0 + 468 + 8 + 2 + 1 + 169 + 6 + 8 = 666.

It is a super-2 number, since 2×13046882116968² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 541554603 + ... + 541578693.

It is an arithmetic number, because the mean of its divisors is an integer number (70837707600).

Almost surely, 2^{13046882116968} is an apocalyptic number.

13046882116968 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 13046882116968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22668066432000).

13046882116968 is an abundant number, since it is smaller than the sum of its proper divisors (32289250747032).

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

13046882116968 is a wasteful number, since it uses less digits than its factorization.

13046882116968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24347 (or 24334 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 13046882116968 in words is "thirteen trillion, forty-six billion, eight hundred eighty-two million, one hundred sixteen thousand, nine hundred sixty-eight".