14694200820 has 384 divisors, whose sum is σ = 51565248000. Its totient is φ = 3448811520.

The previous prime is 14694200813. The next prime is 14694200827. The reversal of 14694200820 is 2800249641.

It is an interprime number because it is at equal distance from previous prime (14694200813) and next prime (14694200827).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14694200827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18118215 + ... + 18119025.

It is an arithmetic number, because the mean of its divisors is an integer number (134284500).

Almost surely, 2^14694200820 is an apocalyptic number.

14694200820 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 14694200820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25782624000).

14694200820 is an abundant number, since it is smaller than the sum of its proper divisors (36871047180).

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

14694200820 is a wasteful number, since it uses less digits than its factorization.

14694200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14694200820 in words is "fourteen billion, six hundred ninety-four million, two hundred thousand, eight hundred twenty".