14534998560 has 384 divisors, whose sum is σ = 52581312000. Its totient is φ = 3747594240.

The previous prime is 14534998531. The next prime is 14534998567. The reversal of 14534998560 is 6589943541.

14534998560 is a `hidden beast` number, since 1 + 45 + 34 + 9 + 9 + 8 + 560 = 666.

It is a super-2 number, since 2×14534998560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14534998497 and 14534998506.

It is not an unprimeable number, because it can be changed into a prime (14534998567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24265141 + ... + 24265739.

It is an arithmetic number, because the mean of its divisors is an integer number (136930500).

Almost surely, 2^14534998560 is an apocalyptic number.

14534998560 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 14534998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26290656000).

14534998560 is an abundant number, since it is smaller than the sum of its proper divisors (38046313440).

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

14534998560 is a wasteful number, since it uses less digits than its factorization.

14534998560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 14534998560 in words is "fourteen billion, five hundred thirty-four million, nine hundred ninety-eight thousand, five hundred sixty".