11323501035264 has 1728 divisors, whose sum is σ = 42015357296640. Its totient is φ = 2986780262400.

The previous prime is 11323501035199. The next prime is 11323501035269. The reversal of 11323501035264 is 46253010532311.

11323501035264 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 350 + 10 + 35 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323501035269) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 10137422034 + ... + 10137423150.

It is an arithmetic number, because the mean of its divisors is an integer number (24314442880).

Almost surely, 2^{11323501035264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11323501035264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21007678648320).

11323501035264 is an abundant number, since it is smaller than the sum of its proper divisors (30691856261376).

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

11323501035264 is a wasteful number, since it uses less digits than its factorization.

11323501035264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 11323501035264 its reverse (46253010532311), we get a palindrome (57576511567575).

The spelling of 11323501035264 in words is "eleven trillion, three hundred twenty-three billion, five hundred one million, thirty-five thousand, two hundred sixty-four".