54405114102112 has 96 divisors (see below), whose sum is σ = 114151742208000. Its totient is φ = 25435377543168.

The previous prime is 54405114102091. The next prime is 54405114102113. The reversal of 54405114102112 is 21120141150445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54405114102113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103247889 + ... + 103773487.

It is an arithmetic number, because the mean of its divisors is an integer number (1189080648000).

Almost surely, 2^{54405114102112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54405114102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57075871104000).

54405114102112 is an abundant number, since it is smaller than the sum of its proper divisors (59746628105888).

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

54405114102112 is a wasteful number, since it uses less digits than its factorization.

54405114102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526868 (or 526860 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

Adding to 54405114102112 its reverse (21120141150445), we get a palindrome (75525255252557).

The spelling of 54405114102112 in words is "fifty-four trillion, four hundred five billion, one hundred fourteen million, one hundred two thousand, one hundred twelve".