11453513600232 has 288 divisors, whose sum is σ = 36896485429440. Its totient is φ = 3319857446400.

The previous prime is 11453513600167. The next prime is 11453513600251. The reversal of 11453513600232 is 23200631535411.

11453513600232 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 3 + 5 + 13 + 600 + 2 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4351632 + ... + 6468672.

It is an arithmetic number, because the mean of its divisors is an integer number (128112796630).

Almost surely, 2^{11453513600232} is an apocalyptic number.

11453513600232 is a gapful number since it is divisible by the number (12) 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 11453513600232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448242714720).

11453513600232 is an abundant number, since it is smaller than the sum of its proper divisors (25442971829208).

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

11453513600232 is a wasteful number, since it uses less digits than its factorization.

11453513600232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117107 (or 2117080 counting only the distinct ones).

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

The spelling of 11453513600232 in words is "eleven trillion, four hundred fifty-three billion, five hundred thirteen million, six hundred thousand, two hundred thirty-two".