14111314560 has 640 divisors, whose sum is σ = 59206055040. Its totient is φ = 3135283200.

The previous prime is 14111314549. The next prime is 14111314561. The reversal of 14111314560 is 6541311141.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14111314560² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14111314561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13426035 + ... + 13427085.

It is an arithmetic number, because the mean of its divisors is an integer number (92509461).

Almost surely, 2^14111314560 is an apocalyptic number.

14111314560 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 14111314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29603027520).

14111314560 is an abundant number, since it is smaller than the sum of its proper divisors (45094740480).

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

14111314560 is a wasteful number, since it uses less digits than its factorization.

14111314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 14111314560 in words is "fourteen billion, one hundred eleven million, three hundred fourteen thousand, five hundred sixty".