64514428224768 has 432 divisors, whose sum is σ = 198207380192640. Its totient is φ = 20913718468608.

The previous prime is 64514428224767. The next prime is 64514428224787. The reversal of 64514428224768 is 86742282441546.

64514428224768 is a `hidden beast` number, since 6 + 4 + 51 + 4 + 4 + 282 + 247 + 68 = 666.

64514428224768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×64514428224768² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64514428224767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6092584018 + ... + 6092594606.

Almost surely, 2^{64514428224768} 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 64514428224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99103690096320).

64514428224768 is an abundant number, since it is smaller than the sum of its proper divisors (133692951967872).

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

64514428224768 is a wasteful number, since it uses less digits than its factorization.

64514428224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304 (or 13278 counting only the distinct ones).

The product of its digits is 165150720, while the sum is 63.

The spelling of 64514428224768 in words is "sixty-four trillion, five hundred fourteen billion, four hundred twenty-eight million, two hundred twenty-four thousand, seven hundred sixty-eight".