11331164350000 has 480 divisors, whose sum is σ = 30758106855168. Its totient is φ = 4008009600000.

The previous prime is 11331164349997. The next prime is 11331164350013. The reversal of 11331164350000 is 5346113311.

It is a super-3 number, since 3×11331164350000³ (a number of 40 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6692949154 + ... + 6692950846.

Almost surely, 2^{11331164350000} is an apocalyptic number.

11331164350000 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 11331164350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379053427584).

11331164350000 is an abundant number, since it is smaller than the sum of its proper divisors (19426942505168).

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

11331164350000 is a wasteful number, since it uses less digits than its factorization.

11331164350000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 11331164350000 in words is "eleven trillion, three hundred thirty-one billion, one hundred sixty-four million, three hundred fifty thousand".