14211881152 has 224 divisors, whose sum is σ = 34355560448. Its totient is φ = 5706215424.

The previous prime is 14211881141. The next prime is 14211881227. The reversal of 14211881152 is 25118811241.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 90521458 + ... + 90521614.

Almost surely, 2^14211881152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14211881152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17177780224).

14211881152 is an abundant number, since it is smaller than the sum of its proper divisors (20143679296).

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

14211881152 is a wasteful number, since it uses less digits than its factorization.

14211881152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its digits is 5120, while the sum is 34.

The spelling of 14211881152 in words is "fourteen billion, two hundred eleven million, eight hundred eighty-one thousand, one hundred fifty-two".