13818134151360 has 672 divisors, whose sum is σ = 59297834598912. Its totient is φ = 2869296168960.

The previous prime is 13818134151359. The next prime is 13818134151413. The reversal of 13818134151360 is 6315143181831.

13818134151360 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 8 + 134 + 151 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328849072 + ... + 328891088.

It is an arithmetic number, because the mean of its divisors is an integer number (88240825296).

Almost surely, 2^{13818134151360} is an apocalyptic number.

13818134151360 is a gapful number since it is divisible by the number (10) 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 13818134151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29648917299456).

13818134151360 is an abundant number, since it is smaller than the sum of its proper divisors (45479700447552).

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

13818134151360 is a wasteful number, since it uses less digits than its factorization.

13818134151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43541 (or 43528 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13818134151360 in words is "thirteen trillion, eight hundred eighteen billion, one hundred thirty-four million, one hundred fifty-one thousand, three hundred sixty".