125892191664 has 120 divisors (see below), whose sum is σ = 355990469120. Its totient is φ = 41527852416.

The previous prime is 125892191647. The next prime is 125892191717. The reversal of 125892191664 is 466191298521.

125892191664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×125892191664² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125892191664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37656777 + ... + 37660119.

Almost surely, 2^125892191664 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 125892191664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177995234560).

125892191664 is an abundant number, since it is smaller than the sum of its proper divisors (230098277456).

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

125892191664 is a wasteful number, since it uses less digits than its factorization.

125892191664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5999 (or 5990 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 125892191664 in words is "one hundred twenty-five billion, eight hundred ninety-two million, one hundred ninety-one thousand, six hundred sixty-four".