13699252224 has 432 divisors, whose sum is σ = 47814883200. Its totient is φ = 3864526848.

The previous prime is 13699252219. The next prime is 13699252267. The reversal of 13699252224 is 42225299631.

13699252224 is a `hidden beast` number, since 1 + 36 + 9 + 92 + 522 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×13699252224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13699252224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408217 + ... + 173408295.

It is an arithmetic number, because the mean of its divisors is an integer number (110682600).

Almost surely, 2^13699252224 is an apocalyptic number.

13699252224 is a gapful number since it is divisible by the number (14) 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 13699252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23907441600).

13699252224 is an abundant number, since it is smaller than the sum of its proper divisors (34115630976).

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

13699252224 is an frugal number, since it uses more digits than its factorization.

13699252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 91 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13699252224 in words is "thirteen billion, six hundred ninety-nine million, two hundred fifty-two thousand, two hundred twenty-four".