13464834768 has 400 divisors, whose sum is σ = 51451956864. Its totient is φ = 3291217920.

The previous prime is 13464834737. The next prime is 13464834769. The reversal of 13464834768 is 86743846431.

13464834768 is a `hidden beast` number, since 1 + 3 + 464 + 83 + 47 + 68 = 666.

It is a super-2 number, since 2×13464834768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13464834769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1692496 + ... + 1700432.

Almost surely, 2^13464834768 is an apocalyptic number.

13464834768 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 13464834768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25725978432).

13464834768 is an abundant number, since it is smaller than the sum of its proper divisors (37987122096).

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

13464834768 is a wasteful number, since it uses less digits than its factorization.

13464834768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 7977 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 13464834768 in words is "thirteen billion, four hundred sixty-four million, eight hundred thirty-four thousand, seven hundred sixty-eight".