125625584448 has 448 divisors, whose sum is σ = 469223587840. Its totient is φ = 32062003200.

The previous prime is 125625584431. The next prime is 125625584449. The reversal of 125625584448 is 844485526521.

125625584448 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 2 + 558 + 44 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125625584394 and 125625584403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125625584449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4861803 + ... + 4887573.

It is an arithmetic number, because the mean of its divisors is an integer number (1047374080).

Almost surely, 2^125625584448 is an apocalyptic number.

125625584448 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 125625584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234611793920).

125625584448 is an abundant number, since it is smaller than the sum of its proper divisors (343598003392).

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

125625584448 is a wasteful number, since it uses less digits than its factorization.

125625584448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25843 (or 25827 counting only the distinct ones).

The product of its digits is 12288000, while the sum is 54.

It can be divided in two parts, 1256255 and 84448, that added together give a triangular number (1340703 = T₁₆₃₇).

The spelling of 125625584448 in words is "one hundred twenty-five billion, six hundred twenty-five million, five hundred eighty-four thousand, four hundred forty-eight".