11406244632 has 64 divisors (see below), whose sum is σ = 29155230720. Its totient is φ = 3716982528.

The previous prime is 11406244631. The next prime is 11406244651. The reversal of 11406244632 is 23644260411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11406244593 and 11406244602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11406244631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085548 + ... + 1096004.

It is an arithmetic number, because the mean of its divisors is an integer number (455550480).

Almost surely, 2^11406244632 is an apocalyptic number.

11406244632 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 11406244632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14577615360).

11406244632 is an abundant number, since it is smaller than the sum of its proper divisors (17748986088).

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

11406244632 is a wasteful number, since it uses less digits than its factorization.

11406244632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480 (or 11476 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 11406244632 in words is "eleven billion, four hundred six million, two hundred forty-four thousand, six hundred thirty-two".