312313869360 has 240 divisors, whose sum is σ = 1118663597376. Its totient is φ = 77812088832.

The previous prime is 312313869353. The next prime is 312313869383. The reversal of 312313869360 is 63968313213.

312313869360 is a `hidden beast` number, since 3 + 1 + 231 + 386 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583757 + ... + 1770003.

Almost surely, 2^312313869360 is an apocalyptic number.

312313869360 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 312313869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559331798688).

312313869360 is an abundant number, since it is smaller than the sum of its proper divisors (806349728016).

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

312313869360 is a wasteful number, since it uses less digits than its factorization.

312313869360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186420 (or 186411 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 312313869360 in words is "three hundred twelve billion, three hundred thirteen million, eight hundred sixty-nine thousand, three hundred sixty".