14613445440 has 448 divisors, whose sum is σ = 56619648000. Its totient is φ = 3518760960.

The previous prime is 14613445411. The next prime is 14613445447. The reversal of 14613445440 is 4454431641.

14613445440 is a `hidden beast` number, since 1 + 46 + 134 + 45 + 440 = 666.

14613445440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14613445395 and 14613445404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14613445447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17011731 + ... + 17012589.

Almost surely, 2^14613445440 is an apocalyptic number.

14613445440 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 14613445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28309824000).

14613445440 is an abundant number, since it is smaller than the sum of its proper divisors (42006202560).

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

14613445440 is a wasteful number, since it uses less digits than its factorization.

14613445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 14613445440 in words is "fourteen billion, six hundred thirteen million, four hundred forty-five thousand, four hundred forty".