13641227952 has 160 divisors (see below), whose sum is σ = 39319983360. Its totient is φ = 4040540160.

The previous prime is 13641227933. The next prime is 13641227953. The reversal of 13641227952 is 25972214631.

It is a happy number.

It is a super-2 number, since 2×13641227952² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13641227953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4249324 + ... + 4252532.

It is an arithmetic number, because the mean of its divisors is an integer number (245749896).

Almost surely, 2^13641227952 is an apocalyptic number.

13641227952 is a gapful number since it is divisible by the number (12) 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 13641227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659991680).

13641227952 is an abundant number, since it is smaller than the sum of its proper divisors (25678755408).

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

13641227952 is a wasteful number, since it uses less digits than its factorization.

13641227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411 (or 3405 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 13641227952 in words is "thirteen billion, six hundred forty-one million, two hundred twenty-seven thousand, nine hundred fifty-two".