312342343401024 has 42 divisors (see below), whose sum is σ = 895272932215350. Its totient is φ = 104114114466816.

The previous prime is 312342343401007. The next prime is 312342343401041. The reversal of 312342343401024 is 420104343243213.

312342343401024 is a `hidden beast` number, since 3 + 12 + 3 + 4 + 234 + 3 + 401 + 0 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (312342343401007) and next prime (312342343401041).

It can be written as a sum of positive squares in only one way, i.e., 181961754062400 + 130380589338624 = 13489320^2 + 11418432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 312342343401024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 271130505849 + ... + 271130507000.

Almost surely, 2^{312342343401024} is an apocalyptic number.

It is an amenable number.

312342343401024 is an abundant number, since it is smaller than the sum of its proper divisors (582930588814326).

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

312342343401024 is a wasteful number, since it uses less digits than its factorization.

312342343401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542261012867 (or 542261012854 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312342343401024 its reverse (420104343243213), we get a palindrome (732446686644237).

The spelling of 312342343401024 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred forty-three million, four hundred one thousand, twenty-four".