456333321132312 has 384 divisors, whose sum is σ = 1271774661393600. Its totient is φ = 135540769554432.

The previous prime is 456333321132277. The next prime is 456333321132319. The reversal of 456333321132312 is 213231123333654.

It is a super-3 number, since 3×456333321132312³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456333321132319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323870347864 + ... + 323870349272.

Almost surely, 2^{456333321132312} 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 456333321132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635887330696800).

456333321132312 is an abundant number, since it is smaller than the sum of its proper divisors (815441340261288).

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

456333321132312 is a wasteful number, since it uses less digits than its factorization.

456333321132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2044 counting only the distinct ones).

The product of its digits is 699840, while the sum is 42.

Adding to 456333321132312 its reverse (213231123333654), we get a palindrome (669564444465966).

The spelling of 456333321132312 in words is "four hundred fifty-six trillion, three hundred thirty-three billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred twelve".