312312944885760 has 4608 divisors, whose sum is σ = 1466780253120000. Its totient is φ = 62247590166528.

The previous prime is 312312944885749. The next prime is 312312944885761. The reversal of 312312944885760 is 67588449213213.

It is a happy number.

312312944885760 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 2 + 94 + 488 + 5 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312312944885761) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 894879498066 + ... + 894879498414.

It is an arithmetic number, because the mean of its divisors is an integer number (318311686875).

It is a 1-persistent number, because it is pandigital, but 2⋅312312944885760 = 624625889771520 is not.

Almost surely, 2^{312312944885760} is an apocalyptic number.

312312944885760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312312944885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733390126560000).

312312944885760 is an abundant number, since it is smaller than the sum of its proper divisors (1154467308234240).

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

312312944885760 is an equidigital number, since it uses as much as digits as its factorization.

312312944885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 312312944885760 in words is "three hundred twelve trillion, three hundred twelve billion, nine hundred forty-four million, eight hundred eighty-five thousand, seven hundred sixty".