14222812032 has 640 divisors, whose sum is σ = 50944813920. Its totient is φ = 3881779200.

The previous prime is 14222812027. The next prime is 14222812067. The reversal of 14222812032 is 23021822241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14222811987 and 14222812005.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 78578982 + ... + 78579162.

Almost surely, 2^14222812032 is an apocalyptic number.

14222812032 is a gapful number since it is divisible by the number (12) 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 14222812032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25472406960).

14222812032 is an abundant number, since it is smaller than the sum of its proper divisors (36722001888).

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

14222812032 is a wasteful number, since it uses less digits than its factorization.

14222812032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14222812032 in words is "fourteen billion, two hundred twenty-two million, eight hundred twelve thousand, thirty-two".