312404241660492 has 384 divisors, whose sum is σ = 817626458880000. Its totient is φ = 92414353489920.

The previous prime is 312404241660431. The next prime is 312404241660499. The reversal of 312404241660492 is 294066142404213.

It is not an unprimeable number, because it can be changed into a prime (312404241660499) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 9659680242 + ... + 9659712582.

It is an arithmetic number, because the mean of its divisors is an integer number (2129235570000).

Almost surely, 2^{312404241660492} 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 312404241660492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408813229440000).

312404241660492 is an abundant number, since it is smaller than the sum of its proper divisors (505222217219508).

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

312404241660492 is a wasteful number, since it uses less digits than its factorization.

312404241660492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32769 (or 32767 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 312404241660492 in words is "three hundred twelve trillion, four hundred four billion, two hundred forty-one million, six hundred sixty thousand, four hundred ninety-two".