14172768720 has 480 divisors, whose sum is σ = 54122785920. Its totient is φ = 3406233600.

The previous prime is 14172768691. The next prime is 14172768773. The reversal of 14172768720 is 2786727141.

It is a super-2 number, since 2×14172768720² (a number of 21 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55146832 + ... + 55147088.

It is an arithmetic number, because the mean of its divisors is an integer number (112755804).

Almost surely, 2^14172768720 is an apocalyptic number.

14172768720 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 14172768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27061392960).

14172768720 is an abundant number, since it is smaller than the sum of its proper divisors (39950017200).

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

14172768720 is a wasteful number, since it uses less digits than its factorization.

14172768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 14172768720 in words is "fourteen billion, one hundred seventy-two million, seven hundred sixty-eight thousand, seven hundred twenty".