312523133364 has 144 divisors (see below), whose sum is σ = 875048836480. Its totient is φ = 93423041280.

The previous prime is 312523133357. The next prime is 312523133387. The reversal of 312523133364 is 463331325213.

312523133364 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 2 + 313 + 336 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11952297 + ... + 11978415.

Almost surely, 2^312523133364 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 312523133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437524418240).

312523133364 is an abundant number, since it is smaller than the sum of its proper divisors (562525703116).

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

312523133364 is a wasteful number, since it uses less digits than its factorization.

312523133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26870 (or 26865 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

Adding to 312523133364 its reverse (463331325213), we get a palindrome (775854458577).

The spelling of 312523133364 in words is "three hundred twelve billion, five hundred twenty-three million, one hundred thirty-three thousand, three hundred sixty-four".