64689235345152 has 432 divisors, whose sum is σ = 210413448000000. Its totient is φ = 19589341685760.

The previous prime is 64689235345093. The next prime is 64689235345157. The reversal of 64689235345152 is 25154353298646.

64689235345152 is a `hidden beast` number, since 6 + 4 + 6 + 8 + 9 + 235 + 345 + 1 + 52 = 666.

64689235345152 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 self number, because there is not a number n which added to its sum of digits gives 64689235345152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64689235345157) 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, 1253665849 + ... + 1253717447.

Almost surely, 2^{64689235345152} 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 64689235345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105206724000000).

64689235345152 is an abundant number, since it is smaller than the sum of its proper divisors (145724212654848).

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

64689235345152 is a wasteful number, since it uses less digits than its factorization.

64689235345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53145 (or 53114 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 64689235345152 in words is "sixty-four trillion, six hundred eighty-nine billion, two hundred thirty-five million, three hundred forty-five thousand, one hundred fifty-two".