125448087308544 has 4320 divisors, whose sum is σ = 547927208801280. Its totient is φ = 27491954688000.

The previous prime is 125448087308447. The next prime is 125448087308561. The reversal of 125448087308544 is 445803780844521.

125448087308544 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 4 + 8 + 0 + 87 + 3 + 0 + 8 + 544 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 378997242459 + ... + 378997242789.

Almost surely, 2^{125448087308544} is an apocalyptic number.

125448087308544 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 125448087308544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273963604400640).

125448087308544 is an abundant number, since it is smaller than the sum of its proper divisors (422479121492736).

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

125448087308544 is a wasteful number, since it uses less digits than its factorization.

125448087308544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 63.

The spelling of 125448087308544 in words is "one hundred twenty-five trillion, four hundred forty-eight billion, eighty-seven million, three hundred eight thousand, five hundred forty-four".