462109784064 has 96 divisors (see below), whose sum is σ = 1233440208000. Its totient is φ = 153855516672.

The previous prime is 462109784057. The next prime is 462109784083. The reversal of 462109784064 is 460487901264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 462109783998 and 462109784016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5233917 + ... + 5321475.

It is an arithmetic number, because the mean of its divisors is an integer number (12848335500).

Almost surely, 2^462109784064 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 462109784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616720104000).

462109784064 is an abundant number, since it is smaller than the sum of its proper divisors (771330423936).

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

462109784064 is an equidigital number, since it uses as much as digits as its factorization.

462109784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88443 (or 88423 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 462109784064 in words is "four hundred sixty-two billion, one hundred nine million, seven hundred eighty-four thousand, sixty-four".