13371418368 has 864 divisors, whose sum is σ = 52344714240. Its totient is φ = 3179151360.

The previous prime is 13371418363. The next prime is 13371418373. The reversal of 13371418368 is 86381417331.

13371418368 is a `hidden beast` number, since 133 + 71 + 418 + 36 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13371418363) and next prime (13371418373).

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 (13371418363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118331080 + ... + 118331192.

It is an arithmetic number, because the mean of its divisors is an integer number (60584160).

Almost surely, 2^13371418368 is an apocalyptic number.

13371418368 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 13371418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172357120).

13371418368 is an abundant number, since it is smaller than the sum of its proper divisors (38973295872).

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

13371418368 is a wasteful number, since it uses less digits than its factorization.

13371418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 13371418368 in words is "thirteen billion, three hundred seventy-one million, four hundred eighteen thousand, three hundred sixty-eight".