14149859220 has 480 divisors, whose sum is σ = 55588135680. Its totient is φ = 2937876480.

The previous prime is 14149859177. The next prime is 14149859221. The reversal of 14149859220 is 2295894141.

It is a happy number.

14149859220 is a `hidden beast` number, since 1 + 414 + 9 + 8 + 5 + 9 + 220 = 666.

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 (14149859221) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 5589355 + ... + 5591885.

It is an arithmetic number, because the mean of its divisors is an integer number (115808616).

Almost surely, 2^14149859220 is an apocalyptic number.

14149859220 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 14149859220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794067840).

14149859220 is an abundant number, since it is smaller than the sum of its proper divisors (41438276460).

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

14149859220 is a wasteful number, since it uses less digits than its factorization.

14149859220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2594 counting only the distinct ones).

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

The spelling of 14149859220 in words is "fourteen billion, one hundred forty-nine million, eight hundred fifty-nine thousand, two hundred twenty".