312521641344 has 192 divisors, whose sum is σ = 987572551680. Its totient is φ = 94075776000.

The previous prime is 312521641343. The next prime is 312521641357. The reversal of 312521641344 is 443146125213.

312521641344 is a `hidden beast` number, since 3 + 1 + 2 + 5 + 2 + 1 + 641 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 312521641299 and 312521641308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312521641343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831809 + ... + 1995135.

It is an arithmetic number, because the mean of its divisors is an integer number (5143607040).

Almost surely, 2^312521641344 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 312521641344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493786275840).

312521641344 is an abundant number, since it is smaller than the sum of its proper divisors (675050910336).

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

312521641344 is a wasteful number, since it uses less digits than its factorization.

312521641344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163509 (or 163494 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 312521641344 its reverse (443146125213), we get a palindrome (755667766557).

The spelling of 312521641344 in words is "three hundred twelve billion, five hundred twenty-one million, six hundred forty-one thousand, three hundred forty-four".