54414455041100 has 144 divisors (see below), whose sum is σ = 147250816177920. Its totient is φ = 16956319507200.

The previous prime is 54414455041099. The next prime is 54414455041153. The reversal of 54414455041100 is 114055441445.

54414455041100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 31648802 + ... + 33323798.

Almost surely, 2^{54414455041100} is an apocalyptic number.

54414455041100 is a gapful number since it is divisible by the number (50) 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 54414455041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73625408088960).

54414455041100 is an abundant number, since it is smaller than the sum of its proper divisors (92836361136820).

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

54414455041100 is a wasteful number, since it uses less digits than its factorization.

54414455041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679248 (or 1679241 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 38.

The spelling of 54414455041100 in words is "fifty-four trillion, four hundred fourteen billion, four hundred fifty-five million, forty-one thousand, one hundred".