11530634016 has 384 divisors, whose sum is σ = 35700424704. Its totient is φ = 3252480000.

The previous prime is 11530633967. The next prime is 11530634041. The reversal of 11530634016 is 61043603511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 162403261 + ... + 162403331.

It is an arithmetic number, because the mean of its divisors is an integer number (92969856).

Almost surely, 2^11530634016 is an apocalyptic number.

11530634016 is a gapful number since it is divisible by the number (16) 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 11530634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850212352).

11530634016 is an abundant number, since it is smaller than the sum of its proper divisors (24169790688).

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

11530634016 is a wasteful number, since it uses less digits than its factorization.

11530634016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

It can be divided in two parts, 11530 and 634016, that added together give a palindrome (645546).

The spelling of 11530634016 in words is "eleven billion, five hundred thirty million, six hundred thirty-four thousand, sixteen".