11334400314432 has 224 divisors, whose sum is σ = 32719780128000. Its totient is φ = 3442019622912.

The previous prime is 11334400314409. The next prime is 11334400314467. The reversal of 11334400314432 is 23441300443311.

It is a junction number, because it is equal to n+sod(n) for n = 11334400314393 and 11334400314402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58291869 + ... + 58485987.

It is an arithmetic number, because the mean of its divisors is an integer number (146070447000).

Almost surely, 2^{11334400314432} is an apocalyptic number.

11334400314432 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 11334400314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359890064000).

11334400314432 is an abundant number, since it is smaller than the sum of its proper divisors (21385379813568).

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

11334400314432 is a wasteful number, since it uses less digits than its factorization.

11334400314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194453 (or 194443 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 11334400314432 its reverse (23441300443311), we get a palindrome (34775700757743).

The spelling of 11334400314432 in words is "eleven trillion, three hundred thirty-four billion, four hundred million, three hundred fourteen thousand, four hundred thirty-two".