305313136522640 has 80 divisors (see below), whose sum is σ = 747574883841600. Its totient is φ = 115641688859136.

The previous prime is 305313136522633. The next prime is 305313136522643. The reversal of 305313136522640 is 46225631313503.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×305313136522640² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 305313136522591 and 305313136522600.

It is not an unprimeable number, because it can be changed into a prime (305313136522643) 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 15 ways as a sum of consecutive naturals, for example, 45396422 + ... + 51686181.

It is an arithmetic number, because the mean of its divisors is an integer number (9344686048020).

Almost surely, 2^{305313136522640} is an apocalyptic number.

It is an amenable number.

305313136522640 is an abundant number, since it is smaller than the sum of its proper divisors (442261747318960).

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

305313136522640 is a wasteful number, since it uses less digits than its factorization.

305313136522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97084704 (or 97084698 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 305313136522640 in words is "three hundred five trillion, three hundred thirteen billion, one hundred thirty-six million, five hundred twenty-two thousand, six hundred forty".