312318135360 has 1344 divisors, whose sum is σ = 1395698024448. Its totient is φ = 62208000000.

The previous prime is 312318135331. The next prime is 312318135361. The reversal of 312318135360 is 63531813213.

312318135360 is a `hidden beast` number, since 3 + 12 + 31 + 81 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312318135361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1244295235 + ... + 1244295485.

It is an arithmetic number, because the mean of its divisors is an integer number (1038465792).

Almost surely, 2^312318135360 is an apocalyptic number.

312318135360 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 312318135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697849012224).

312318135360 is an abundant number, since it is smaller than the sum of its proper divisors (1083379889088).

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

312318135360 is a wasteful number, since it uses less digits than its factorization.

312318135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 312318135360 its reverse (63531813213), we get a palindrome (375849948573).

The spelling of 312318135360 in words is "three hundred twelve billion, three hundred eighteen million, one hundred thirty-five thousand, three hundred sixty".