11006453345500 has 96 divisors (see below), whose sum is σ = 24388007611968. Its totient is φ = 4338596736000.

The previous prime is 11006453345497. The next prime is 11006453345521. The reversal of 11006453345500 is 554335460011.

It is a super-2 number, since 2×11006453345500² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11006453345500.

It is a congruent number.

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, 43198480 + ... + 43452520.

It is an arithmetic number, because the mean of its divisors is an integer number (254041745958).

Almost surely, 2^{11006453345500} is an apocalyptic number.

11006453345500 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 11006453345500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194003805984).

11006453345500 is an abundant number, since it is smaller than the sum of its proper divisors (13381554266468).

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

11006453345500 is a wasteful number, since it uses less digits than its factorization.

11006453345500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255320 (or 255308 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 11006453345500 in words is "eleven trillion, six billion, four hundred fifty-three million, three hundred forty-five thousand, five hundred".