64125182856288 has 96 divisors (see below), whose sum is σ = 171514216897632. Its totient is φ = 20970583961600.

The previous prime is 64125182856281. The next prime is 64125182856299. The reversal of 64125182856288 is 88265828152146.

64125182856288 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 (96).

It is a super-2 number, since 2×64125182856288² (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 (64125182856281) 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 15 ways as a sum of consecutive naturals, for example, 92975428 + ... + 93662588.

It is an arithmetic number, because the mean of its divisors is an integer number (1786606426017).

Almost surely, 2^{64125182856288} is an apocalyptic number.

It is an amenable number.

64125182856288 is an abundant number, since it is smaller than the sum of its proper divisors (107389034041344).

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

64125182856288 is a wasteful number, since it uses less digits than its factorization.

64125182856288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705568 (or 705560 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 66.

The spelling of 64125182856288 in words is "sixty-four trillion, one hundred twenty-five billion, one hundred eighty-two million, eight hundred fifty-six thousand, two hundred eighty-eight".