13641429672 has 80 divisors (see below), whose sum is σ = 41147785140. Its totient is φ = 4197360384.

The previous prime is 13641429649. The next prime is 13641429673. The reversal of 13641429672 is 27692414631.

13641429672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13258601316 + 382828356 = 115146^2 + 19566^2 .

It is a super-2 number, since 2×13641429672² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13641429673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 801253 + ... + 818100.

Almost surely, 2^13641429672 is an apocalyptic number.

13641429672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13641429672 is an abundant number, since it is smaller than the sum of its proper divisors (27506355468).

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

13641429672 is a wasteful number, since it uses less digits than its factorization.

13641429672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619384 (or 1619371 counting only the distinct ones).

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

The spelling of 13641429672 in words is "thirteen billion, six hundred forty-one million, four hundred twenty-nine thousand, six hundred seventy-two".