11354663232 has 126 divisors (see below), whose sum is σ = 35774023194. Its totient is φ = 3440785920.

The previous prime is 11354663231. The next prime is 11354663249. The reversal of 11354663232 is 23236645311.

11354663232 is a `hidden beast` number, since 1 + 13 + 5 + 4 + 6 + 632 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11207186496 + 147476736 = 105864^2 + 12144^2 .

It is a super-2 number, since 2×11354663232² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11354663231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11763 + ... + 151154.

It is an arithmetic number, because the mean of its divisors is an integer number (283920819).

Almost surely, 2^11354663232 is an apocalyptic number.

11354663232 is a gapful number since it is divisible by the number (12) 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 11354663232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17887011597).

11354663232 is an abundant number, since it is smaller than the sum of its proper divisors (24419359962).

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

11354663232 is a wasteful number, since it uses less digits than its factorization.

11354663232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162957 (or 162933 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 11354663232 in words is "eleven billion, three hundred fifty-four million, six hundred sixty-three thousand, two hundred thirty-two".