312745982641 has 32 divisors (see below), whose sum is σ = 337803333120. Its totient is φ = 288943200000.

The previous prime is 312745982579. The next prime is 312745982651. The reversal of 312745982641 is 146289547213.

It is a 5-Lehmer number, since φ(312745982641) divides (312745982641-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 312745982641 - 2¹¹ = 312745980593 is a prime.

It is a pancake number, because a pancake can be divided into 312745982641 parts by 790880 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312745982651) 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 31 ways as a sum of consecutive naturals, for example, 49631191 + ... + 49637491.

It is an arithmetic number, because the mean of its divisors is an integer number (10556354160).

Almost surely, 2^312745982641 is an apocalyptic number.

It is an amenable number.

312745982641 is a deficient number, since it is larger than the sum of its proper divisors (25057350479).

312745982641 is a wasteful number, since it uses less digits than its factorization.

312745982641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7177.

The product of its digits is 2903040, while the sum is 52.

The spelling of 312745982641 in words is "three hundred twelve billion, seven hundred forty-five million, nine hundred eighty-two thousand, six hundred forty-one".