845257745641 has 27 divisors (see below), whose sum is σ = 897821064637. Its totient is φ = 795704136920.

The previous prime is 845257745609. The next prime is 845257745677. The reversal of 845257745641 is 146547752548.

It is a happy number.

The square root of 845257745641 is 919379.

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

It is not a de Polignac number, because 845257745641 - 2⁵ = 845257745609 is a prime.

It is a super-2 number, since 2×845257745641² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (845257745141) 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 26 ways as a sum of consecutive naturals, for example, 1501345626 + ... + 1501346188.

Almost surely, 2^845257745641 is an apocalyptic number.

845257745641 is the 919379-th square number.

845257745641 is the 459690-th centered octagonal number.

It is an amenable number.

845257745641 is a deficient number, since it is larger than the sum of its proper divisors (52563318996).

845257745641 is an frugal number, since it uses more digits than its factorization.

845257745641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 657 counting only the distinct ones).

The product of its digits is 37632000, while the sum is 58.

The spelling of 845257745641 in words is "eight hundred forty-five billion, two hundred fifty-seven million, seven hundred forty-five thousand, six hundred forty-one".