125446553064 has 192 divisors, whose sum is σ = 406978084800. Its totient is φ = 35698320000.

The previous prime is 125446553053. The next prime is 125446553069. The reversal of 125446553064 is 460355644521.

125446553064 is a `hidden beast` number, since 1 + 2 + 54 + 4 + 6 + 5 + 530 + 64 = 666.

125446553064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (125446553069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632974 + ... + 2680194.

It is an arithmetic number, because the mean of its divisors is an integer number (2119677525).

Almost surely, 2^125446553064 is an apocalyptic number.

125446553064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125446553064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203489042400).

125446553064 is an abundant number, since it is smaller than the sum of its proper divisors (281531531736).

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

125446553064 is a wasteful number, since it uses less digits than its factorization.

125446553064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47501 (or 47484 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 125446553064 in words is "one hundred twenty-five billion, four hundred forty-six million, five hundred fifty-three thousand, sixty-four".