312683901642 has 80 divisors (see below), whose sum is σ = 801169807680. Its totient is φ = 89289801792.

The previous prime is 312683901641. The next prime is 312683901643. The reversal of 312683901642 is 246109386213.

It is an interprime number because it is at equal distance from previous prime (312683901641) and next prime (312683901643).

It is not an unprimeable number, because it can be changed into a prime (312683901641) 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 39 ways as a sum of consecutive naturals, for example, 2043334 + ... + 2191022.

It is an arithmetic number, because the mean of its divisors is an integer number (10014622596).

Almost surely, 2^312683901642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312683901642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400584903840).

312683901642 is an abundant number, since it is smaller than the sum of its proper divisors (488485906038).

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

312683901642 is a wasteful number, since it uses less digits than its factorization.

312683901642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149577 (or 149568 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 312683901642 in words is "three hundred twelve billion, six hundred eighty-three million, nine hundred one thousand, six hundred forty-two".