14533245540 has 576 divisors, whose sum is σ = 53241027840. Its totient is φ = 3170119680.

The previous prime is 14533245539. The next prime is 14533245553. The reversal of 14533245540 is 4554233541.

14533245540 is a `hidden beast` number, since 1 + 45 + 3 + 32 + 45 + 540 = 666.

It is a super-2 number, since 2×14533245540² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14533245495 and 14533245504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73772722 + ... + 73772918.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 2^14533245540 is an apocalyptic number.

14533245540 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 14533245540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26620513920).

14533245540 is an abundant number, since it is smaller than the sum of its proper divisors (38707782300).

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

14533245540 is a wasteful number, since it uses less digits than its factorization.

14533245540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14533245540 in words is "fourteen billion, five hundred thirty-three million, two hundred forty-five thousand, five hundred forty".