14135071860 has 576 divisors, whose sum is σ = 56545542144. Its totient is φ = 2883340800.

The previous prime is 14135071817. The next prime is 14135071871. The reversal of 14135071860 is 6817053141.

14135071860 is a `hidden beast` number, since 141 + 3 + 507 + 1 + 8 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13709545 + ... + 13710575.

It is an arithmetic number, because the mean of its divisors is an integer number (98169344).

Almost surely, 2^14135071860 is an apocalyptic number.

14135071860 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 14135071860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272771072).

14135071860 is an abundant number, since it is smaller than the sum of its proper divisors (42410470284).

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

14135071860 is a wasteful number, since it uses less digits than its factorization.

14135071860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14135071860 in words is "fourteen billion, one hundred thirty-five million, seventy-one thousand, eight hundred sixty".