11345006211000 has 384 divisors, whose sum is σ = 44918653628160. Its totient is φ = 2357403552000.

The previous prime is 11345006210999. The next prime is 11345006211013. The reversal of 11345006211000 is 11260054311.

It is a happy number.

11345006211000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1891042 + ... + 5125041.

It is an arithmetic number, because the mean of its divisors is an integer number (116975660490).

Almost surely, 2^{11345006211000} is an apocalyptic number.

11345006211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345006211000 is an abundant number, since it is smaller than the sum of its proper divisors (33573647417160).

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

11345006211000 is a wasteful number, since it uses less digits than its factorization.

11345006211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016132 (or 7016111 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 11345006211000 its reverse (11260054311), we get a palindrome (11356266265311).

The spelling of 11345006211000 in words is "eleven trillion, three hundred forty-five billion, six million, two hundred eleven thousand".