11634663258 has 80 divisors (see below), whose sum is σ = 26991588096. Its totient is φ = 3741914880.

The previous prime is 11634663253. The next prime is 11634663259. The reversal of 11634663258 is 85236643611.

11634663258 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 4 + 6 + 632 + 5 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11634663253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1769485 + ... + 1776047.

Almost surely, 2^11634663258 is an apocalyptic number.

11634663258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11634663258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13495794048).

11634663258 is an abundant number, since it is smaller than the sum of its proper divisors (15356924838).

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

11634663258 is a wasteful number, since it uses less digits than its factorization.

11634663258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6961 (or 6952 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

It can be divided in two parts, 11634663 and 258, that added together give a square (11634921 = 3411²).

The spelling of 11634663258 in words is "eleven billion, six hundred thirty-four million, six hundred sixty-three thousand, two hundred fifty-eight".