13836764160 has 132 divisors (see below), whose sum is σ = 47944187148. Its totient is φ = 3689791488.

The previous prime is 13836764153. The next prime is 13836764167. The reversal of 13836764160 is 6146763831.

13836764160 is a `hidden beast` number, since 138 + 36 + 76 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13836764153) and next prime (13836764167).

It can be written as a sum of positive squares in 2 ways, for example, as 2027160576 + 11809603584 = 45024^2 + 108672^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13836764167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104059 + ... + 196218.

It is an arithmetic number, because the mean of its divisors is an integer number (363213539).

Almost surely, 2^13836764160 is an apocalyptic number.

13836764160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13836764160 is an abundant number, since it is smaller than the sum of its proper divisors (34107422988).

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

13836764160 is a wasteful number, since it uses less digits than its factorization.

13836764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300308 (or 300287 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13836764160 in words is "thirteen billion, eight hundred thirty-six million, seven hundred sixty-four thousand, one hundred sixty".