125552414344 has 128 divisors (see below), whose sum is σ = 278554982400. Its totient is φ = 51946836480.

The previous prime is 125552414269. The next prime is 125552414347. The reversal of 125552414344 is 443414255521.

It is a junction number, because it is equal to n+sod(n) for n = 125552414297 and 125552414306.

It is not an unprimeable number, because it can be changed into a prime (125552414347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47682852 + ... + 47685484.

It is an arithmetic number, because the mean of its divisors is an integer number (2176210800).

Almost surely, 2^125552414344 is an apocalyptic number.

125552414344 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 125552414344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139277491200).

125552414344 is an abundant number, since it is smaller than the sum of its proper divisors (153002568056).

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

125552414344 is a wasteful number, since it uses less digits than its factorization.

125552414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2959 counting only the distinct ones).

The product of its digits is 384000, while the sum is 40.

Adding to 125552414344 its reverse (443414255521), we get a palindrome (568966669865).

The spelling of 125552414344 in words is "one hundred twenty-five billion, five hundred fifty-two million, four hundred fourteen thousand, three hundred forty-four".