11630328336 has 405 divisors, whose sum is σ = 38657367567. Its totient is φ = 3261202560.

The previous prime is 11630328329. The next prime is 11630328341. The reversal of 11630328336 is 63382303611.

The square root of 11630328336 is 107844.

It is a perfect power (a square), and thus also a powerful number.

11630328336 is a `hidden beast` number, since 1 + 16 + 303 + 2 + 8 + 336 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11630328336.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 270472731 + ... + 270472773.

Almost surely, 2^11630328336 is an apocalyptic number.

11630328336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11630328336 is the 107844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630328336

11630328336 is an abundant number, since it is smaller than the sum of its proper divisors (27027039231).

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

11630328336 is a wasteful number, since it uses less digits than its factorization.

11630328336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Multiplying 11630328336 by its sum of digits (36), we get a square (418691820096 = 647064²).

11630328336 divided by its sum of digits (36) gives a square (323064676 = 17974²).

Multiplying 11630328336 by its product of nonzero digits (46656), we get a square (542624598844416 = 23294304²).

The spelling of 11630328336 in words is "eleven billion, six hundred thirty million, three hundred twenty-eight thousand, three hundred thirty-six".