312252663960 has 320 divisors, whose sum is σ = 1086899536800. Its totient is φ = 80307763200.

The previous prime is 312252663901. The next prime is 312252663997. The reversal of 312252663960 is 69366252213.

312252663960 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 5 + 2 + 6 + 639 + 6 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 161704195 + ... + 161706125.

Almost surely, 2^312252663960 is an apocalyptic number.

312252663960 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 312252663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543449768400).

312252663960 is an abundant number, since it is smaller than the sum of its proper divisors (774646872840).

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

312252663960 is a wasteful number, since it uses less digits than its factorization.

312252663960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 312252663960 in words is "three hundred twelve billion, two hundred fifty-two million, six hundred sixty-three thousand, nine hundred sixty".