14106861600 has 576 divisors, whose sum is σ = 53152848000. Its totient is φ = 3220439040.

The previous prime is 14106861583. The next prime is 14106861617. The reversal of 14106861600 is 616860141.

It is an interprime number because it is at equal distance from previous prime (14106861583) and next prime (14106861617).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31418176 + ... + 31418624.

It is an arithmetic number, because the mean of its divisors is an integer number (92279250).

Almost surely, 2^14106861600 is an apocalyptic number.

14106861600 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 14106861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26576424000).

14106861600 is an abundant number, since it is smaller than the sum of its proper divisors (39045986400).

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

14106861600 is a wasteful number, since it uses less digits than its factorization.

14106861600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 14106861600 in words is "fourteen billion, one hundred six million, eight hundred sixty-one thousand, six hundred".