312610166232144 has 320 divisors, whose sum is σ = 920511483494400. Its totient is φ = 90577112371200.

The previous prime is 312610166232139. The next prime is 312610166232239. The reversal of 312610166232144 is 441232661016213.

It is a junction number, because it is equal to n+sod(n) for n = 312610166232096 and 312610166232105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054260897 + ... + 1054557375.

It is an arithmetic number, because the mean of its divisors is an integer number (2876598385920).

Almost surely, 2^{312610166232144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312610166232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460255741747200).

312610166232144 is an abundant number, since it is smaller than the sum of its proper divisors (607901317262256).

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

312610166232144 is a wasteful number, since it uses less digits than its factorization.

312610166232144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297514 (or 297508 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 312610166232144 in words is "three hundred twelve trillion, six hundred ten billion, one hundred sixty-six million, two hundred thirty-two thousand, one hundred forty-four".