125849648904 has 128 divisors (see below), whose sum is σ = 363557376000. Its totient is φ = 35560546560.

The previous prime is 125849648887. The next prime is 125849648921. The reversal of 125849648904 is 409846948521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125849648887) and next prime (125849648921).

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 31 ways as a sum of consecutive naturals, for example, 5571874 + ... + 5594414.

It is an arithmetic number, because the mean of its divisors is an integer number (2840292000).

Almost surely, 2^125849648904 is an apocalyptic number.

125849648904 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 125849648904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181778688000).

125849648904 is an abundant number, since it is smaller than the sum of its proper divisors (237707727096).

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

125849648904 is a wasteful number, since it uses less digits than its factorization.

125849648904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 125849648904 in words is "one hundred twenty-five billion, eight hundred forty-nine million, six hundred forty-eight thousand, nine hundred four".