462553355264 has 352 divisors, whose sum is σ = 1246345132032. Its totient is φ = 165703680000.

The previous prime is 462553355161. The next prime is 462553355267.

It is a happy number.

462553355264 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462553355267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318781739 + ... + 318783189.

It is an arithmetic number, because the mean of its divisors is an integer number (3540753216).

Almost surely, 2^462553355264 is an apocalyptic number.

462553355264 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 462553355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623172566016).

462553355264 is an abundant number, since it is smaller than the sum of its proper divisors (783791776768).

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

462553355264 is a wasteful number, since it uses less digits than its factorization.

462553355264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1795 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 50.

The spelling of 462553355264 in words is "four hundred sixty-two billion, five hundred fifty-three million, three hundred fifty-five thousand, two hundred sixty-four".