13468846989312 has 1344 divisors, whose sum is σ = 48844637936640. Its totient is φ = 3515233075200.

The previous prime is 13468846989307. The next prime is 13468846989347. The reversal of 13468846989312 is 21398964886431.

13468846989312 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 88 + 469 + 89 + 3 + 1 + 2 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 14222646823 + ... + 14222647769.

It is an arithmetic number, because the mean of its divisors is an integer number (36342736560).

Almost surely, 2^{13468846989312} is an apocalyptic number.

13468846989312 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 13468846989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422318968320).

13468846989312 is an abundant number, since it is smaller than the sum of its proper divisors (35375790947328).

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

13468846989312 is a wasteful number, since it uses less digits than its factorization.

13468846989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1066 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 13468846989312 in words is "thirteen trillion, four hundred sixty-eight billion, eight hundred forty-six million, nine hundred eighty-nine thousand, three hundred twelve".