13339963346112 has 336 divisors, whose sum is σ = 41858958435840. Its totient is φ = 4037197824000.

The previous prime is 13339963346081. The next prime is 13339963346191. The reversal of 13339963346112 is 21164336993331.

It is a happy number.

13339963346112 is a `hidden beast` number, since 1 + 3 + 33 + 99 + 63 + 3 + 461 + 1 + 2 = 666.

It is a super-2 number, since 2×13339963346112² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127236112 + ... + 127340912.

It is an arithmetic number, because the mean of its divisors is an integer number (124580233440).

Almost surely, 2^{13339963346112} is an apocalyptic number.

13339963346112 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 13339963346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20929479217920).

13339963346112 is an abundant number, since it is smaller than the sum of its proper divisors (28518995089728).

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

13339963346112 is a wasteful number, since it uses less digits than its factorization.

13339963346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105112 (or 105099 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The spelling of 13339963346112 in words is "thirteen trillion, three hundred thirty-nine billion, nine hundred sixty-three million, three hundred forty-six thousand, one hundred twelve".