14628675428064 has 384 divisors, whose sum is σ = 44323150233600. Its totient is φ = 4689044743680.

The previous prime is 14628675428027. The next prime is 14628675428071. The reversal of 14628675428064 is 46082457682641.

It is a happy number.

14628675428064 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 8 + 6 + 7 + 542 + 80 + 6 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14628675427992 and 14628675428010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2903088457 + ... + 2903093495.

It is an arithmetic number, because the mean of its divisors is an integer number (115424870400).

Almost surely, 2^{14628675428064} 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 14628675428064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161575116800).

14628675428064 is an abundant number, since it is smaller than the sum of its proper divisors (29694474805536).

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

14628675428064 is a wasteful number, since it uses less digits than its factorization.

14628675428064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 14628675428064 in words is "fourteen trillion, six hundred twenty-eight billion, six hundred seventy-five million, four hundred twenty-eight thousand, sixty-four".