14245252560 has 1080 divisors, whose sum is σ = 63351445248. Its totient is φ = 2856268800.

The previous prime is 14245252543. The next prime is 14245252573. The reversal of 14245252560 is 6525254241.

14245252560 is a `hidden beast` number, since 1 + 4 + 2 + 45 + 2 + 52 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 200637325 + ... + 200637395.

Almost surely, 2^14245252560 is an apocalyptic number.

14245252560 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 14245252560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31675722624).

14245252560 is an abundant number, since it is smaller than the sum of its proper divisors (49106192688).

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

14245252560 is a wasteful number, since it uses less digits than its factorization.

14245252560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 14245252560 in words is "fourteen billion, two hundred forty-five million, two hundred fifty-two thousand, five hundred sixty".