14411240064 has 160 divisors (see below), whose sum is σ = 46187096340. Its totient is φ = 4434186240.

The previous prime is 14411240009. The next prime is 14411240069. The reversal of 14411240064 is 46004211441.

14411240064 is a `hidden beast` number, since 1 + 4 + 411 + 240 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14302246464 + 108993600 = 119592^2 + 10440^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14411240069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81324 + ... + 188244.

Almost surely, 2^14411240064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14411240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093548170).

14411240064 is an abundant number, since it is smaller than the sum of its proper divisors (31775856276).

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

14411240064 is a wasteful number, since it uses less digits than its factorization.

14411240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106960 (or 106939 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14411240064 in words is "fourteen billion, four hundred eleven million, two hundred forty thousand, sixty-four".