13852684440 has 192 divisors, whose sum is σ = 51618116160. Its totient is φ = 3156157440.

The previous prime is 13852684423. The next prime is 13852684451. The reversal of 13852684440 is 4448625831.

13852684440 is a `hidden beast` number, since 1 + 3 + 8 + 526 + 84 + 4 + 40 = 666.

13852684440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13852684440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 790170 + ... + 807510.

It is an arithmetic number, because the mean of its divisors is an integer number (268844355).

Almost surely, 2^13852684440 is an apocalyptic number.

13852684440 is a gapful number since it is divisible by the number (10) 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 13852684440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809058080).

13852684440 is an abundant number, since it is smaller than the sum of its proper divisors (37765431720).

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

13852684440 is a wasteful number, since it uses less digits than its factorization.

13852684440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17682 (or 17675 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 13852684440 in words is "thirteen billion, eight hundred fifty-two million, six hundred eighty-four thousand, four hundred forty".