11465324000928 has 2304 divisors, whose sum is σ = 45174205440000. Its totient is φ = 2781121609728.

The previous prime is 11465324000857. The next prime is 11465324000983. The reversal of 11465324000928 is 82900042356411.

11465324000928 is a `hidden beast` number, since 11 + 46 + 532 + 40 + 0 + 0 + 9 + 28 = 666.

It is a super-3 number, since 3×11465324000928³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57614693373 + ... + 57614693571.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860000).

Almost surely, 2^{11465324000928} is an apocalyptic number.

11465324000928 is a gapful number since it is divisible by the number (18) 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 11465324000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720000).

11465324000928 is an abundant number, since it is smaller than the sum of its proper divisors (33708881439072).

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

11465324000928 is a wasteful number, since it uses less digits than its factorization.

11465324000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11465324000928 in words is "eleven trillion, four hundred sixty-five billion, three hundred twenty-four million, nine hundred twenty-eight", and thus it is an aban number.