13168634112 has 162 divisors, whose sum is σ = 40335272978. Its totient is φ = 4131127296.

The previous prime is 13168634081. The next prime is 13168634117. The reversal of 13168634112 is 21143686131.

13168634112 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 634 + 1 + 12 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5094533376 + 8074100736 = 71376^2 + 89856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (13168634117) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 655968 + ... + 675744.

Almost surely, 2^13168634112 is an apocalyptic number.

13168634112 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 13168634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20167636489).

13168634112 is an abundant number, since it is smaller than the sum of its proper divisors (27166638866).

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

13168634112 is a wasteful number, since it uses less digits than its factorization.

13168634112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19833 (or 19799 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 13168634112 in words is "thirteen billion, one hundred sixty-eight million, six hundred thirty-four thousand, one hundred twelve".