14039793664 has 120 divisors (see below), whose sum is σ = 31295106360. Its totient is φ = 6253707264.

The previous prime is 14039793659. The next prime is 14039793697. The reversal of 14039793664 is 46639793041.

It can be written as a sum of positive squares in 4 ways, for example, as 2479243264 + 11560550400 = 49792^2 + 107520^2 .

It is a super-2 number, since 2×14039793664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6175632 + ... + 6177904.

It is an arithmetic number, because the mean of its divisors is an integer number (260792553).

Almost surely, 2^14039793664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14039793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647553180).

14039793664 is an abundant number, since it is smaller than the sum of its proper divisors (17255312696).

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

14039793664 is an equidigital number, since it uses as much as digits as its factorization.

14039793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 14039793664 in words is "fourteen billion, thirty-nine million, seven hundred ninety-three thousand, six hundred sixty-four".