462314327152 has 80 divisors (see below), whose sum is σ = 973586099200. Its totient is φ = 211863029760.

The previous prime is 462314327147. The next prime is 462314327197. The reversal of 462314327152 is 251723413264.

It is a super-2 number, since 2×462314327152² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 47671168 + ... + 47680864.

It is an arithmetic number, because the mean of its divisors is an integer number (12169826240).

Almost surely, 2^462314327152 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 462314327152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486793049600).

462314327152 is an abundant number, since it is smaller than the sum of its proper divisors (511271772048).

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

462314327152 is a wasteful number, since it uses less digits than its factorization.

462314327152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14814 (or 14808 counting only the distinct ones).

The product of its digits is 241920, while the sum is 40.

The spelling of 462314327152 in words is "four hundred sixty-two billion, three hundred fourteen million, three hundred twenty-seven thousand, one hundred fifty-two".