13800670812 has 72 divisors (see below), whose sum is σ = 36198804096. Its totient is φ = 4597460208.

The previous prime is 13800670801. The next prime is 13800670817. The reversal of 13800670812 is 21807600831.

13800670812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13800670812² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13800670817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2200393 + ... + 2206655.

It is an arithmetic number, because the mean of its divisors is an integer number (502761168).

Almost surely, 2^13800670812 is an apocalyptic number.

13800670812 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 13800670812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18099402048).

13800670812 is an abundant number, since it is smaller than the sum of its proper divisors (22398133284).

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

13800670812 is a wasteful number, since it uses less digits than its factorization.

13800670812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 13800670812 in words is "thirteen billion, eight hundred million, six hundred seventy thousand, eight hundred twelve".