13691808144 has 225 divisors, whose sum is σ = 44927488203. Its totient is φ = 3892287168.

The previous prime is 13691808127. The next prime is 13691808167. The reversal of 13691808144 is 44180819631.

The square root of 13691808144 is 117012.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×13691808144² (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 13691808144.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68802957 + ... + 68803155.

Almost surely, 2^13691808144 is an apocalyptic number.

13691808144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13691808144 is the 117012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13691808144

13691808144 is an abundant number, since it is smaller than the sum of its proper divisors (31235680059).

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

13691808144 is an frugal number, since it uses more digits than its factorization.

13691808144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 13691808144 in words is "thirteen billion, six hundred ninety-one million, eight hundred eight thousand, one hundred forty-four".