312261360642 has 192 divisors, whose sum is σ = 853359556608. Its totient is φ = 80832549600.

The previous prime is 312261360589. The next prime is 312261360701. The reversal of 312261360642 is 246063162213.

312261360642 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 6 + 1 + 3 + 6 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312261360597 and 312261360606.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52153573 + ... + 52159559.

It is an arithmetic number, because the mean of its divisors is an integer number (4444581024).

Almost surely, 2^312261360642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312261360642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426679778304).

312261360642 is an abundant number, since it is smaller than the sum of its proper divisors (541098195966).

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

312261360642 is a wasteful number, since it uses less digits than its factorization.

312261360642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6346 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 312261360642 in words is "three hundred twelve billion, two hundred sixty-one million, three hundred sixty thousand, six hundred forty-two".