14137682976 has 120 divisors (see below), whose sum is σ = 42592963644. Its totient is φ = 4597585920.

The previous prime is 14137682947. The next prime is 14137682981. The reversal of 14137682976 is 67928673141.

It can be written as a sum of positive squares in 2 ways, for example, as 9384959376 + 4752723600 = 96876^2 + 68940^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39756 + ... + 172788.

Almost surely, 2^14137682976 is an apocalyptic number.

14137682976 is a gapful number since it is divisible by the number (16) 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 14137682976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21296481822).

14137682976 is an abundant number, since it is smaller than the sum of its proper divisors (28455280668).

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

14137682976 is a wasteful number, since it uses less digits than its factorization.

14137682976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133096 (or 133079 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 14137682976 in words is "fourteen billion, one hundred thirty-seven million, six hundred eighty-two thousand, nine hundred seventy-six".