14126794560 has 336 divisors, whose sum is σ = 49712270400. Its totient is φ = 3681165312.

The previous prime is 14126794541. The next prime is 14126794567. The reversal of 14126794560 is 6549762141.

14126794560 is a `hidden beast` number, since 1 + 4 + 12 + 6 + 79 + 4 + 560 = 666.

It is a super-3 number, since 3×14126794560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14126794567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34539636 + ... + 34540044.

Almost surely, 2^14126794560 is an apocalyptic number.

14126794560 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 14126794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24856135200).

14126794560 is an abundant number, since it is smaller than the sum of its proper divisors (35585475840).

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

14126794560 is a wasteful number, since it uses less digits than its factorization.

14126794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 14126794560 in words is "fourteen billion, one hundred twenty-six million, seven hundred ninety-four thousand, five hundred sixty".