14260045680 has 320 divisors, whose sum is σ = 53106124800. Its totient is φ = 3504798720.

The previous prime is 14260045673. The next prime is 14260045687. The reversal of 14260045680 is 8654006241.

14260045680 is a `hidden beast` number, since 1 + 4 + 2 + 600 + 45 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14260045673) and next prime (14260045687).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14260045687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1513785 + ... + 1523175.

It is an arithmetic number, because the mean of its divisors is an integer number (165956640).

Almost surely, 2^14260045680 is an apocalyptic number.

14260045680 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 14260045680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26553062400).

14260045680 is an abundant number, since it is smaller than the sum of its proper divisors (38846079120).

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

14260045680 is a wasteful number, since it uses less digits than its factorization.

14260045680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9469 (or 9457 counting only the distinct ones).

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

The spelling of 14260045680 in words is "fourteen billion, two hundred sixty million, forty-five thousand, six hundred eighty".