11329074520416 has 480 divisors, whose sum is σ = 34520938452000. Its totient is φ = 3642572021760.

The previous prime is 11329074520409. The next prime is 11329074520427. The reversal of 11329074520416 is 61402547092311.

11329074520416 is a `hidden beast` number, since 1 + 1 + 32 + 90 + 7 + 4 + 520 + 4 + 1 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 3005854980 + ... + 3005858748.

It is an arithmetic number, because the mean of its divisors is an integer number (71918621775).

Almost surely, 2^{11329074520416} is an apocalyptic number.

11329074520416 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 11329074520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17260469226000).

11329074520416 is an abundant number, since it is smaller than the sum of its proper divisors (23191863931584).

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

11329074520416 is a wasteful number, since it uses less digits than its factorization.

11329074520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4164 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11329074520416 in words is "eleven trillion, three hundred twenty-nine billion, seventy-four million, five hundred twenty thousand, four hundred sixteen".