14054215680 has 156 divisors (see below), whose sum is σ = 48715972500. Its totient is φ = 3747741696.

The previous prime is 14054215661. The next prime is 14054215687. The reversal of 14054215680 is 8651245041.

It is a happy number.

14054215680 is a `hidden beast` number, since 1 + 40 + 54 + 2 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6721376256 + 7332839424 = 81984^2 + 85632^2 .

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 (14054215687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146196 + ... + 222444.

It is an arithmetic number, because the mean of its divisors is an integer number (312281875).

Almost surely, 2^14054215680 is an apocalyptic number.

14054215680 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 14054215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24357986250).

14054215680 is an abundant number, since it is smaller than the sum of its proper divisors (34661756820).

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

14054215680 is an equidigital number, since it uses as much as digits as its factorization.

14054215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76284 (or 76259 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 14054215680 in words is "fourteen billion, fifty-four million, two hundred fifteen thousand, six hundred eighty".