14968240560 has 640 divisors, whose sum is σ = 63915909120. Its totient is φ = 3135283200.

The previous prime is 14968240537. The next prime is 14968240577. The reversal of 14968240560 is 6504286941.

14968240560 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 82 + 4 + 0 + 560 = 666.

It is a super-2 number, since 2×14968240560² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53267620 + ... + 53267900.

It is an arithmetic number, because the mean of its divisors is an integer number (99868608).

Almost surely, 2^14968240560 is an apocalyptic number.

14968240560 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 14968240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31957954560).

14968240560 is an abundant number, since it is smaller than the sum of its proper divisors (48947668560).

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

14968240560 is a wasteful number, since it uses less digits than its factorization.

14968240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 14968240560 in words is "fourteen billion, nine hundred sixty-eight million, two hundred forty thousand, five hundred sixty".