14220882632250 has 768 divisors, whose sum is σ = 47896767959040. Its totient is φ = 3088939795200.

The previous prime is 14220882632189. The next prime is 14220882632317. The reversal of 14220882632250 is 5223628802241.

14220882632250 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 8 + 8 + 2 + 632 + 2 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14220882632196 and 14220882632205.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 676562241 + ... + 676583259.

It is an arithmetic number, because the mean of its divisors is an integer number (62365583280).

Almost surely, 2^{14220882632250} is an apocalyptic number.

14220882632250 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 14220882632250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23948383979520).

14220882632250 is an abundant number, since it is smaller than the sum of its proper divisors (33675885326790).

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

14220882632250 is a wasteful number, since it uses less digits than its factorization.

14220882632250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21138 (or 21116 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 14220882632250 in words is "fourteen trillion, two hundred twenty billion, eight hundred eighty-two million, six hundred thirty-two thousand, two hundred fifty".