11632398336 has 624 divisors, whose sum is σ = 40071682560. Its totient is φ = 3344302080.

The previous prime is 11632398331. The next prime is 11632398343. The reversal of 11632398336 is 63389323611.

11632398336 is a `hidden beast` number, since 1 + 1 + 632 + 3 + 9 + 8 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×11632398336³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11632398291 and 11632398300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632398331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375238641 + ... + 375238671.

It is an arithmetic number, because the mean of its divisors is an integer number (64217440).

Almost surely, 2^11632398336 is an apocalyptic number.

11632398336 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 11632398336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035841280).

11632398336 is an abundant number, since it is smaller than the sum of its proper divisors (28439284224).

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

11632398336 is an equidigital number, since it uses as much as digits as its factorization.

11632398336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 78 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 11632398336 in words is "eleven billion, six hundred thirty-two million, three hundred ninety-eight thousand, three hundred thirty-six".