11630634900 has 72 divisors (see below), whose sum is σ = 33757735200. Its totient is φ = 3091693440.

The previous prime is 11630634859. The next prime is 11630634931. The reversal of 11630634900 is 943603611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33951 + ... + 156249.

Almost surely, 2^11630634900 is an apocalyptic number.

11630634900 is a gapful number since it is divisible by the number (10) 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 11630634900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16878867600).

11630634900 is an abundant number, since it is smaller than the sum of its proper divisors (22127100300).

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

11630634900 is a wasteful number, since it uses less digits than its factorization.

11630634900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122633 (or 122626 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 11630634900 in words is "eleven billion, six hundred thirty million, six hundred thirty-four thousand, nine hundred".