125574478848 has 880 divisors, whose sum is σ = 468710989824. Its totient is φ = 32606945280.

The previous prime is 125574478819. The next prime is 125574478849. The reversal of 125574478848 is 848874475521.

125574478848 is a `hidden beast` number, since 1 + 2 + 55 + 74 + 478 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125574478849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 958583743 + ... + 958583873.

Almost surely, 2^125574478848 is an apocalyptic number.

125574478848 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 125574478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234355494912).

125574478848 is an abundant number, since it is smaller than the sum of its proper divisors (343136510976).

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

125574478848 is a wasteful number, since it uses less digits than its factorization.

125574478848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its digits is 80281600, while the sum is 63.

The spelling of 125574478848 in words is "one hundred twenty-five billion, five hundred seventy-four million, four hundred seventy-eight thousand, eight hundred forty-eight".