14011214100 has 72 divisors (see below), whose sum is σ = 43657518240. Its totient is φ = 3448913280.

The previous prime is 14011214093. The next prime is 14011214101. The reversal of 14011214100 is 141211041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14011214100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14011214101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1792410 + ... + 1800209.

It is an arithmetic number, because the mean of its divisors is an integer number (606354420).

Almost surely, 2^14011214100 is an apocalyptic number.

14011214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14011214100 is an abundant number, since it is smaller than the sum of its proper divisors (29646304140).

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

14011214100 is a wasteful number, since it uses less digits than its factorization.

14011214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592649 (or 3592642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 14011214100 its reverse (141211041), we get a palindrome (14152425141).

The spelling of 14011214100 in words is "fourteen billion, eleven million, two hundred fourteen thousand, one hundred".