13812000768 has 240 divisors, whose sum is σ = 41621580000. Its totient is φ = 4563247104.

The previous prime is 13812000767. The next prime is 13812000773. The reversal of 13812000768 is 86700021831.

13812000768 is a `hidden beast` number, since 1 + 381 + 200 + 0 + 76 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13812000767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23058133 + ... + 23058731.

It is an arithmetic number, because the mean of its divisors is an integer number (173423250).

Almost surely, 2^13812000768 is an apocalyptic number.

13812000768 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 13812000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20810790000).

13812000768 is an abundant number, since it is smaller than the sum of its proper divisors (27809579232).

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

13812000768 is an equidigital number, since it uses as much as digits as its factorization.

13812000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

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

The spelling of 13812000768 in words is "thirteen billion, eight hundred twelve million, seven hundred sixty-eight", and thus it is an aban number.