14048084667100 has 72 divisors (see below), whose sum is σ = 33260892322896. Its totient is φ = 5107588800000.

The previous prime is 14048084667061. The next prime is 14048084667139. The reversal of 14048084667100 is 176648084041.

14048084667100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14048084667061) and next prime (14048084667139).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5993250 + ... + 8000950.

It is an arithmetic number, because the mean of its divisors is an integer number (461956837818).

Almost surely, 2^{14048084667100} is an apocalyptic number.

14048084667100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14048084667100 is an abundant number, since it is smaller than the sum of its proper divisors (19212807655796).

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

14048084667100 is a wasteful number, since it uses less digits than its factorization.

14048084667100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014087 (or 2014080 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

The spelling of 14048084667100 in words is "fourteen trillion, forty-eight billion, eighty-four million, six hundred sixty-seven thousand, one hundred".