14105960064 has 384 divisors, whose sum is σ = 49008960000. Its totient is φ = 3888138240.

The previous prime is 14105960047. The next prime is 14105960081. The reversal of 14105960064 is 46006950141.

14105960064 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 596 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (14105960047) and next prime (14105960081).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11458329 + ... + 11459559.

It is an arithmetic number, because the mean of its divisors is an integer number (127627500).

Almost surely, 2^14105960064 is an apocalyptic number.

14105960064 is a gapful number since it is divisible by the number (14) 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 14105960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504480000).

14105960064 is an abundant number, since it is smaller than the sum of its proper divisors (34902999936).

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

14105960064 is a wasteful number, since it uses less digits than its factorization.

14105960064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

It can be divided in two parts, 14105 and 960064, that added together give a square (974169 = 987²).

The spelling of 14105960064 in words is "fourteen billion, one hundred five million, nine hundred sixty thousand, sixty-four".