14060616864 has 288 divisors, whose sum is σ = 45329719680. Its totient is φ = 3735300096.

The previous prime is 14060616859. The next prime is 14060616881. The reversal of 14060616864 is 46861606041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 13152522 + ... + 13153590.

It is an arithmetic number, because the mean of its divisors is an integer number (157394860).

Almost surely, 2^14060616864 is an apocalyptic number.

14060616864 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 14060616864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664859840).

14060616864 is an abundant number, since it is smaller than the sum of its proper divisors (31269102816).

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

14060616864 is a wasteful number, since it uses less digits than its factorization.

14060616864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 14060616864 in words is "fourteen billion, sixty million, six hundred sixteen thousand, eight hundred sixty-four".