14349037877760 has 160 divisors (see below), whose sum is σ = 45875154105792. Its totient is φ = 3826153717760.

The previous prime is 14349037877651. The next prime is 14349037877803. The reversal of 14349037877760 is 6777873094341.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×14349037877760³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14349037877691 and 14349037877700.

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, 132971347 + ... + 133079213.

Almost surely, 2^{14349037877760} is an apocalyptic number.

14349037877760 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 14349037877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937577052896).

14349037877760 is an abundant number, since it is smaller than the sum of its proper divisors (31526116228032).

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

14349037877760 is a wasteful number, since it uses less digits than its factorization.

14349037877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125214 (or 125198 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 66.

The spelling of 14349037877760 in words is "fourteen trillion, three hundred forty-nine billion, thirty-seven million, eight hundred seventy-seven thousand, seven hundred sixty".