11454501101106 has 128 divisors (see below), whose sum is σ = 28312202764800. Its totient is φ = 3077519671296.

The previous prime is 11454501101101. The next prime is 11454501101167. The reversal of 11454501101106 is 60110110545411.

It is not an unprimeable number, because it can be changed into a prime (11454501101101) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 40196880 + ... + 40480836.

It is an arithmetic number, because the mean of its divisors is an integer number (221189084100).

Almost surely, 2^{11454501101106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454501101106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156101382400).

11454501101106 is an abundant number, since it is smaller than the sum of its proper divisors (16857701663694).

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

11454501101106 is a wasteful number, since it uses less digits than its factorization.

11454501101106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285153 (or 285139 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 11454501101106 its reverse (60110110545411), we get a palindrome (71564611646517).

The spelling of 11454501101106 in words is "eleven trillion, four hundred fifty-four billion, five hundred one million, one hundred one thousand, one hundred six".