312224741532 has 192 divisors, whose sum is σ = 889482746880. Its totient is φ = 93927340800.

The previous prime is 312224741453. The next prime is 312224741537. The reversal of 312224741532 is 235147422213.

312224741532 is a `hidden beast` number, since 3 + 12 + 22 + 474 + 153 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312224741537) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 190729018 + ... + 190730654.

It is an arithmetic number, because the mean of its divisors is an integer number (4632722640).

Almost surely, 2^312224741532 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 312224741532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444741373440).

312224741532 is an abundant number, since it is smaller than the sum of its proper divisors (577258005348).

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

312224741532 is a wasteful number, since it uses less digits than its factorization.

312224741532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2721 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 312224741532 in words is "three hundred twelve billion, two hundred twenty-four million, seven hundred forty-one thousand, five hundred thirty-two".