14294880810 has 448 divisors, whose sum is σ = 46363905792. Its totient is φ = 3103930368.

The previous prime is 14294880749. The next prime is 14294880823. The reversal of 14294880810 is 1808849241.

It is a super-2 number, since 2×14294880810² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 126503314 + ... + 126503426.

Almost surely, 2^14294880810 is an apocalyptic number.

14294880810 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 14294880810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23181952896).

14294880810 is an abundant number, since it is smaller than the sum of its proper divisors (32069024982).

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

14294880810 is a wasteful number, since it uses less digits than its factorization.

14294880810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 14294880810 in words is "fourteen billion, two hundred ninety-four million, eight hundred eighty thousand, eight hundred ten".