14277669120 has 1008 divisors, whose sum is σ = 60803047872. Its totient is φ = 3165143040.

The previous prime is 14277669097. The next prime is 14277669127. The reversal of 14277669120 is 2196677241.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14277669127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 133436107 + ... + 133436213.

It is an arithmetic number, because the mean of its divisors is an integer number (60320484).

Almost surely, 2^14277669120 is an apocalyptic number.

14277669120 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 14277669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30401523936).

14277669120 is an abundant number, since it is smaller than the sum of its proper divisors (46525378752).

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

14277669120 is a wasteful number, since it uses less digits than its factorization.

14277669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 14277669120 in words is "fourteen billion, two hundred seventy-seven million, six hundred sixty-nine thousand, one hundred twenty".