14029775904 has 96 divisors (see below), whose sum is σ = 38151933120. Its totient is φ = 4508951552.

The previous prime is 14029775863. The next prime is 14029775953. The reversal of 14029775904 is 40957792041.

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

It is a super-2 number, since 2×14029775904² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 2215687 + ... + 2222009.

It is an arithmetic number, because the mean of its divisors is an integer number (397415970).

Almost surely, 2^14029775904 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 14029775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19075966560).

14029775904 is an abundant number, since it is smaller than the sum of its proper divisors (24122157216).

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

14029775904 is a wasteful number, since it uses less digits than its factorization.

14029775904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7162 (or 7154 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 14029775904 in words is "fourteen billion, twenty-nine million, seven hundred seventy-five thousand, nine hundred four".