125648521380864 has 1056 divisors, whose sum is σ = 405126545241600. Its totient is φ = 38890251878400.

The previous prime is 125648521380859. The next prime is 125648521380869. The reversal of 125648521380864 is 468083125846521.

It is a happy number.

125648521380864 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 48 + 521 + 3 + 8 + 0 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (125648521380859) and next prime (125648521380869).

It is not an unprimeable number, because it can be changed into a prime (125648521380869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96578417014 + ... + 96578418314.

Almost surely, 2^{125648521380864} 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 125648521380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202563272620800).

125648521380864 is an abundant number, since it is smaller than the sum of its proper divisors (279478023860736).

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

125648521380864 is an frugal number, since it uses more digits than its factorization.

125648521380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 125648521380864 in words is "one hundred twenty-five trillion, six hundred forty-eight billion, five hundred twenty-one million, three hundred eighty thousand, eight hundred sixty-four".