14245760729088 has 720 divisors, whose sum is σ = 49384670981184. Its totient is φ = 4008066416640.

The previous prime is 14245760729071. The next prime is 14245760729093. The reversal of 14245760729088 is 88092706754241.

It is a happy number.

14245760729088 is a `hidden beast` number, since 1 + 42 + 457 + 60 + 7 + 2 + 9 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4979292778 + ... + 4979295638.

Almost surely, 2^{14245760729088} is an apocalyptic number.

14245760729088 is a gapful number since it is divisible by the number (18) 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 14245760729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24692335490592).

14245760729088 is an abundant number, since it is smaller than the sum of its proper divisors (35138910252096).

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

14245760729088 is an frugal number, since it uses more digits than its factorization.

14245760729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 14245760729088 in words is "fourteen trillion, two hundred forty-five billion, seven hundred sixty million, seven hundred twenty-nine thousand, eighty-eight".