14797448064 has 768 divisors, whose sum is σ = 54949440000. Its totient is φ = 3950456832.

The previous prime is 14797448009. The next prime is 14797448101. The reversal of 14797448064 is 46084479741.

14797448064 is a `hidden beast` number, since 1 + 479 + 74 + 48 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 14797448064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202704732 + ... + 202704804.

It is an arithmetic number, because the mean of its divisors is an integer number (71548750).

Almost surely, 2^14797448064 is an apocalyptic number.

14797448064 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 14797448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474720000).

14797448064 is an abundant number, since it is smaller than the sum of its proper divisors (40151991936).

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

14797448064 is an frugal number, since it uses more digits than its factorization.

14797448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 14797448064 in words is "fourteen billion, seven hundred ninety-seven million, four hundred forty-eight thousand, sixty-four".