11006453345472 has 336 divisors, whose sum is σ = 35217659043840. Its totient is φ = 3263626598400.

The previous prime is 11006453345471. The next prime is 11006453345497. The reversal of 11006453345472 is 27454335460011.

11006453345472 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 4 + 533 + 45 + 4 + 72 = 666.

It is a super-2 number, since 2×11006453345472² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006453345471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55379397 + ... + 55577787.

It is an arithmetic number, because the mean of its divisors is an integer number (104814461440).

Almost surely, 2^{11006453345472} is an apocalyptic number.

11006453345472 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 11006453345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17608829521920).

11006453345472 is an abundant number, since it is smaller than the sum of its proper divisors (24211205698368).

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

11006453345472 is a wasteful number, since it uses less digits than its factorization.

11006453345472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198692 (or 198679 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 11006453345472 in words is "eleven trillion, six billion, four hundred fifty-three million, three hundred forty-five thousand, four hundred seventy-two".