14402873952 has 96 divisors (see below), whose sum is σ = 42083647200. Its totient is φ = 4792356864.

The previous prime is 14402873917. The next prime is 14402874047. The reversal of 14402873952 is 25937820441.

14402873952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 14402873898 and 14402873907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476968 + ... + 506264.

It is an arithmetic number, because the mean of its divisors is an integer number (438371325).

Almost surely, 2^14402873952 is an apocalyptic number.

14402873952 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 14402873952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041823600).

14402873952 is an abundant number, since it is smaller than the sum of its proper divisors (27680773248).

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

14402873952 is a wasteful number, since it uses less digits than its factorization.

14402873952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29885 (or 29871 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14402873952 in words is "fourteen billion, four hundred two million, eight hundred seventy-three thousand, nine hundred fifty-two".