11322434764800 has 2160 divisors, whose sum is σ = 46606611673440. Its totient is φ = 2609192632320.

The previous prime is 11322434764799. The next prime is 11322434764801. The reversal of 11322434764800 is 846743422311.

11322434764800 is a `hidden beast` number, since 1 + 1 + 3 + 224 + 347 + 6 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11322434764799) and next prime (11322434764801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322434764801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44056166272 + ... + 44056166528.

It is an arithmetic number, because the mean of its divisors is an integer number (21577135034).

Almost surely, 2^{11322434764800} is an apocalyptic number.

11322434764800 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 11322434764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23303305836720).

11322434764800 is an abundant number, since it is smaller than the sum of its proper divisors (35284176908640).

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

11322434764800 is a wasteful number, since it uses less digits than its factorization.

11322434764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 11322434764800 in words is "eleven trillion, three hundred twenty-two billion, four hundred thirty-four million, seven hundred sixty-four thousand, eight hundred".