125444390438416 has 405 divisors, whose sum is σ = 307216179294759. Its totient is φ = 49468667286528.

The previous prime is 125444390438413. The next prime is 125444390438491. The reversal of 125444390438416 is 614834093444521.

It is a happy number.

The square root of 125444390438416 is 11200196.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 963420771600 + 124480969666816 = 981540^2 + 11157104^2 .

It is not an unprimeable number, because it can be changed into a prime (125444390438413) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 220464657780 + ... + 220464658348.

Almost surely, 2^{125444390438416} is an apocalyptic number.

125444390438416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

125444390438416 is the 11200196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125444390438416

125444390438416 is an abundant number, since it is smaller than the sum of its proper divisors (181771788856343).

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

125444390438416 is an frugal number, since it uses more digits than its factorization.

125444390438416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 58.

The spelling of 125444390438416 in words is "one hundred twenty-five trillion, four hundred forty-four billion, three hundred ninety million, four hundred thirty-eight thousand, four hundred sixteen".