14079677760 has 168 divisors, whose sum is σ = 48550692840. Its totient is φ = 3745087488.

The previous prime is 14079677753. The next prime is 14079677767. The reversal of 14079677760 is 6777697041.

It is an interprime number because it is at equal distance from previous prime (14079677753) and next prime (14079677767).

It can be written as a sum of positive squares in 4 ways, for example, as 7275407616 + 6804270144 = 85296^2 + 82488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14079677697 and 14079677706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14079677767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171944 + ... + 1183896.

Almost surely, 2^14079677760 is an apocalyptic number.

14079677760 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 14079677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24275346420).

14079677760 is an abundant number, since it is smaller than the sum of its proper divisors (34471015080).

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

14079677760 is a wasteful number, since it uses less digits than its factorization.

14079677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 14079677760 in words is "fourteen billion, seventy-nine million, six hundred seventy-seven thousand, seven hundred sixty".