14864513040 has 320 divisors, whose sum is σ = 58383763200. Its totient is φ = 3443613696.

The previous prime is 14864513021. The next prime is 14864513129. The reversal of 14864513040 is 4031546841.

14864513040 is a `hidden beast` number, since 1 + 4 + 8 + 645 + 1 + 3 + 0 + 4 + 0 = 666.

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 = 14864512986 and 14864513004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 461791 + ... + 492929.

It is an arithmetic number, because the mean of its divisors is an integer number (182449260).

Almost surely, 2^14864513040 is an apocalyptic number.

14864513040 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 14864513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191881600).

14864513040 is an abundant number, since it is smaller than the sum of its proper divisors (43519250160).

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

14864513040 is a wasteful number, since it uses less digits than its factorization.

14864513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31191 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14864513040 in words is "fourteen billion, eight hundred sixty-four million, five hundred thirteen thousand, forty".