14028475776 has 384 divisors, whose sum is σ = 45879436800. Its totient is φ = 3780661248.

The previous prime is 14028475757. The next prime is 14028475807. The reversal of 14028475776 is 67757482041.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×14028475776³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25645935 + ... + 25646481.

It is an arithmetic number, because the mean of its divisors is an integer number (119477700).

Almost surely, 2^14028475776 is an apocalyptic number.

14028475776 is a gapful number since it is divisible by the number (16) 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 14028475776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939718400).

14028475776 is an abundant number, since it is smaller than the sum of its proper divisors (31850961024).

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

14028475776 is a wasteful number, since it uses less digits than its factorization.

14028475776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 14028475776 in words is "fourteen billion, twenty-eight million, four hundred seventy-five thousand, seven hundred seventy-six".