13627042848 has 72 divisors (see below), whose sum is σ = 39483115308. Its totient is φ = 4456637952.

The previous prime is 13627042843. The next prime is 13627042883. The reversal of 13627042848 is 84824072631.

It is a happy number.

13627042848 is a `hidden beast` number, since 1 + 362 + 7 + 0 + 4 + 284 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13440228624 + 186814224 = 115932^2 + 13668^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×13627042848² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13627042843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431115 + ... + 461642.

Almost surely, 2^13627042848 is an apocalyptic number.

13627042848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13627042848 is an abundant number, since it is smaller than the sum of its proper divisors (25856072460).

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

13627042848 is a wasteful number, since it uses less digits than its factorization.

13627042848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892826 (or 892815 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13627042848 in words is "thirteen billion, six hundred twenty-seven million, forty-two thousand, eight hundred forty-eight".