11352345408000 has 1440 divisors, whose sum is σ = 44390477184768. Its totient is φ = 2786672640000.

The previous prime is 11352345407999. The next prime is 11352345408037. The reversal of 11352345408000 is 80454325311.

11352345408000 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 2 + 34 + 540 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7823807275 + ... + 7823808725.

Almost surely, 2^{11352345408000} is an apocalyptic number.

11352345408000 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 11352345408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195238592384).

11352345408000 is an abundant number, since it is smaller than the sum of its proper divisors (33038131776768).

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

11352345408000 is a wasteful number, since it uses less digits than its factorization.

11352345408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11352345408000 in words is "eleven trillion, three hundred fifty-two billion, three hundred forty-five million, four hundred eight thousand".