14182945920 has 768 divisors, whose sum is σ = 58623626880. Its totient is φ = 3114270720.

The previous prime is 14182945859. The next prime is 14182945943. The reversal of 14182945920 is 2954928141.

It is a happy number.

14182945920 is a `hidden beast` number, since 14 + 182 + 9 + 459 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 55186432 + ... + 55186688.

Almost surely, 2^14182945920 is an apocalyptic number.

14182945920 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 14182945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29311813440).

14182945920 is an abundant number, since it is smaller than the sum of its proper divisors (44440680960).

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

14182945920 is a wasteful number, since it uses less digits than its factorization.

14182945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 14182945920 in words is "fourteen billion, one hundred eighty-two million, nine hundred forty-five thousand, nine hundred twenty".