125261019648 has 160 divisors (see below), whose sum is σ = 371294985600. Its totient is φ = 41695838208.

The previous prime is 125261019629. The next prime is 125261019673. The reversal of 125261019648 is 846910162521.

125261019648 is a `hidden beast` number, since 1 + 25 + 2 + 610 + 1 + 9 + 6 + 4 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10624765 + ... + 10636547.

It is an arithmetic number, because the mean of its divisors is an integer number (2320593660).

Almost surely, 2^125261019648 is an apocalyptic number.

125261019648 is a gapful number since it is divisible by the number (18) 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 125261019648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185647492800).

125261019648 is an abundant number, since it is smaller than the sum of its proper divisors (246033965952).

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

125261019648 is an equidigital number, since it uses as much as digits as its factorization.

125261019648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12579 (or 12557 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 125261019648 in words is "one hundred twenty-five billion, two hundred sixty-one million, nineteen thousand, six hundred forty-eight".