11006453342340 has 288 divisors, whose sum is σ = 34010551935360. Its totient is φ = 2880517939200.

The previous prime is 11006453342293. The next prime is 11006453342359. The reversal of 11006453342340 is 4324335460011.

11006453342340 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 64 + 533 + 4 + 23 + 40 = 666.

It is a super-2 number, since 2×11006453342340² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11006453342295 and 11006453342304.

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, 5164923075 + ... + 5164925205.

It is an arithmetic number, because the mean of its divisors is an integer number (118092194220).

Almost surely, 2^{11006453342340} is an apocalyptic number.

11006453342340 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 11006453342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005275967680).

11006453342340 is an abundant number, since it is smaller than the sum of its proper divisors (23004098593020).

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

11006453342340 is a wasteful number, since it uses less digits than its factorization.

11006453342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3603 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 11006453342340 in words is "eleven trillion, six billion, four hundred fifty-three million, three hundred forty-two thousand, three hundred forty".