463514415364 has 96 divisors (see below), whose sum is σ = 1136449069056. Its totient is φ = 159450698880.

The previous prime is 463514415359. The next prime is 463514415367.

463514415364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×463514415364² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (463514415367) 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, 2424492 + ... + 2608675.

It is an arithmetic number, because the mean of its divisors is an integer number (11838011136).

Almost surely, 2^463514415364 is an apocalyptic number.

463514415364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463514415364 is an abundant number, since it is smaller than the sum of its proper divisors (672934653692).

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

463514415364 is a wasteful number, since it uses less digits than its factorization.

463514415364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033225 (or 5033223 counting only the distinct ones).

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

It can be divided in two parts, 463514 and 415364, that added together give a palindrome (878878).

The spelling of 463514415364 in words is "four hundred sixty-three billion, five hundred fourteen million, four hundred fifteen thousand, three hundred sixty-four".