14530945590 has 336 divisors, whose sum is σ = 48041547120. Its totient is φ = 3145080960.

The previous prime is 14530945547. The next prime is 14530945591. The reversal of 14530945590 is 9554903541.

14530945590 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 0 + 94 + 559 + 0 = 666.

It is a super-2 number, since 2×14530945590² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14530945591) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6785920 + ... + 6788060.

It is an arithmetic number, because the mean of its divisors is an integer number (142980795).

Almost surely, 2^14530945590 is an apocalyptic number.

14530945590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14530945590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24020773560).

14530945590 is an abundant number, since it is smaller than the sum of its proper divisors (33510601530).

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

14530945590 is a wasteful number, since it uses less digits than its factorization.

14530945590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 14530945590 in words is "fourteen billion, five hundred thirty million, nine hundred forty-five thousand, five hundred ninety".