13843357164 has 252 divisors, whose sum is σ = 44961070896. Its totient is φ = 3650085504.

The previous prime is 13843357163. The next prime is 13843357169. The reversal of 13843357164 is 46175334831.

13843357164 is a `hidden beast` number, since 1 + 3 + 8 + 433 + 57 + 164 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13843357163) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3447622 + ... + 3451634.

It is an arithmetic number, because the mean of its divisors is an integer number (178416948).

Almost surely, 2^13843357164 is an apocalyptic number.

13843357164 is a gapful number since it is divisible by the number (14) 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 13843357164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22480535448).

13843357164 is an abundant number, since it is smaller than the sum of its proper divisors (31117713732).

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

13843357164 is a wasteful number, since it uses less digits than its factorization.

13843357164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4038 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13843357164 in words is "thirteen billion, eight hundred forty-three million, three hundred fifty-seven thousand, one hundred sixty-four".