14277600064 has 168 divisors, whose sum is σ = 36045550464. Its totient is φ = 5463936000.

The previous prime is 14277600053. The next prime is 14277600101. The reversal of 14277600064 is 46000677241.

It is a junction number, because it is equal to n+sod(n) for n = 14277599996 and 14277600032.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5595589 + ... + 5598139.

It is an arithmetic number, because the mean of its divisors is an integer number (214556848).

Almost surely, 2^14277600064 is an apocalyptic number.

14277600064 is a gapful number since it is divisible by the number (14) 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 14277600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022775232).

14277600064 is an abundant number, since it is smaller than the sum of its proper divisors (21767950400).

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

14277600064 is a wasteful number, since it uses less digits than its factorization.

14277600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 14277600064 in words is "fourteen billion, two hundred seventy-seven million, six hundred thousand, sixty-four".