14115513100 has 144 divisors (see below), whose sum is σ = 35452293408. Its totient is φ = 4831580160.

The previous prime is 14115513091. The next prime is 14115513127. The reversal of 14115513100 is 131551141.

It is a super-2 number, since 2×14115513100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475934 + ... + 1485466.

It is an arithmetic number, because the mean of its divisors is an integer number (246196482).

Almost surely, 2^14115513100 is an apocalyptic number.

14115513100 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 14115513100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726146704).

14115513100 is an abundant number, since it is smaller than the sum of its proper divisors (21336780308).

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

14115513100 is a wasteful number, since it uses less digits than its factorization.

14115513100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9637 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The spelling of 14115513100 in words is "fourteen billion, one hundred fifteen million, five hundred thirteen thousand, one hundred".