125345333301444 has 18 divisors (see below), whose sum is σ = 316845148067630. Its totient is φ = 41781777767136.

The previous prime is 125345333301431. The next prime is 125345333301469. The reversal of 125345333301444 is 444103333543521.

125345333301444 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 5 + 333 + 301 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121081149601344 + 4264183700100 = 11003688^2 + 2064990^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×125345333301444² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 125345333301444.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1740907406929 + ... + 1740907407000.

Almost surely, 2^{125345333301444} is an apocalyptic number.

It is an amenable number.

125345333301444 is an abundant number, since it is smaller than the sum of its proper divisors (191499814766186).

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

125345333301444 is a wasteful number, since it uses less digits than its factorization.

125345333301444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481814813939 (or 3481814813934 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

Adding to 125345333301444 its reverse (444103333543521), we get a palindrome (569448666844965).

The spelling of 125345333301444 in words is "one hundred twenty-five trillion, three hundred forty-five billion, three hundred thirty-three million, three hundred one thousand, four hundred forty-four".