14224700952 has 576 divisors, whose sum is σ = 51448400640. Its totient is φ = 3602776320.

The previous prime is 14224700933. The next prime is 14224700981. The reversal of 14224700952 is 25900742241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87268023 + ... + 87268185.

It is an arithmetic number, because the mean of its divisors is an integer number (89320140).

Almost surely, 2^14224700952 is an apocalyptic number.

14224700952 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 14224700952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25724200320).

14224700952 is an abundant number, since it is smaller than the sum of its proper divisors (37223699688).

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

14224700952 is a wasteful number, since it uses less digits than its factorization.

14224700952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14224700952 in words is "fourteen billion, two hundred twenty-four million, seven hundred thousand, nine hundred fifty-two".