14369649840 has 1440 divisors, whose sum is σ = 68075017920. Its totient is φ = 2675441664.

The previous prime is 14369649817. The next prime is 14369649841. The reversal of 14369649840 is 4894696341.

It is a happy number.

14369649840 is a `hidden beast` number, since 1 + 436 + 96 + 49 + 84 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (14369649841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148140672 + ... + 148140768.

It is an arithmetic number, because the mean of its divisors is an integer number (47274318).

Almost surely, 2^14369649840 is an apocalyptic number.

14369649840 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 14369649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037508960).

14369649840 is an abundant number, since it is smaller than the sum of its proper divisors (53705368080).

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

14369649840 is a wasteful number, since it uses less digits than its factorization.

14369649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 14369649840 in words is "fourteen billion, three hundred sixty-nine million, six hundred forty-nine thousand, eight hundred forty".