305425746364001 has 24 divisors (see below), whose sum is σ = 324836253315000. Its totient is φ = 287116380207104.

The previous prime is 305425746363953. The next prime is 305425746364043. The reversal of 305425746364001 is 100463647524503.

It can be written as a sum of positive squares in 12 ways, for example, as 12889363710976 + 292536382653025 = 3590176^2 + 17103695^2 .

It is not a de Polignac number, because 305425746364001 - 2³⁰ = 305424672622177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305425746364301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1281948755 + ... + 1282186983.

It is an arithmetic number, because the mean of its divisors is an integer number (13534843888125).

Almost surely, 2^{305425746364001} is an apocalyptic number.

It is an amenable number.

305425746364001 is a deficient number, since it is larger than the sum of its proper divisors (19410506950999).

305425746364001 is a wasteful number, since it uses less digits than its factorization.

305425746364001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243541 (or 243524 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 50.

The spelling of 305425746364001 in words is "three hundred five trillion, four hundred twenty-five billion, seven hundred forty-six million, three hundred sixty-four thousand, one".