462650056264 has 96 divisors (see below), whose sum is σ = 1044401412600. Its totient is φ = 191099955200.

The previous prime is 462650056249. The next prime is 462650056277.

462650056264 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 462576816900 + 73239364 = 680130^2 + 8558^2 .

It is a super-2 number, since 2×462650056264² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7507 + ... + 961954.

Almost surely, 2^462650056264 is an apocalyptic number.

462650056264 is a gapful number since it is divisible by the number (44) 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 462650056264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522200706300).

462650056264 is an abundant number, since it is smaller than the sum of its proper divisors (581751356336).

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

462650056264 is a wasteful number, since it uses less digits than its factorization.

462650056264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969535 (or 969520 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 462650056264 in words is "four hundred sixty-two billion, six hundred fifty million, fifty-six thousand, two hundred sixty-four".