14274670160 has 80 divisors (see below), whose sum is σ = 35189154000. Its totient is φ = 5366611968.

The previous prime is 14274670103. The next prime is 14274670181. The reversal of 14274670160 is 6107647241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 600642064 + 13674028096 = 24508^2 + 116936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039016 + ... + 1052664.

It is an arithmetic number, because the mean of its divisors is an integer number (439864425).

Almost surely, 2^14274670160 is an apocalyptic number.

14274670160 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 14274670160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594577000).

14274670160 is an abundant number, since it is smaller than the sum of its proper divisors (20914483840).

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

14274670160 is a wasteful number, since it uses less digits than its factorization.

14274670160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14448 (or 14442 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 14274670160 in words is "fourteen billion, two hundred seventy-four million, six hundred seventy thousand, one hundred sixty".