54413064144 has 100 divisors (see below), whose sum is σ = 157605016800. Its totient is φ = 18124119360.

The previous prime is 54413064137. The next prime is 54413064157. The reversal of 54413064144 is 44146031445.

54413064144 is a `hidden beast` number, since 5 + 4 + 4 + 1 + 3 + 0 + 641 + 4 + 4 = 666.

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 = 54413064099 and 54413064108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1798099 + ... + 1828109.

It is an arithmetic number, because the mean of its divisors is an integer number (1576050168).

Almost surely, 2^54413064144 is an apocalyptic number.

54413064144 is a gapful number since it is divisible by the number (54) 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 54413064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78802508400).

54413064144 is an abundant number, since it is smaller than the sum of its proper divisors (103191952656).

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

54413064144 is a wasteful number, since it uses less digits than its factorization.

54413064144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31430 (or 31415 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 54413064144 its reverse (44146031445), we get a palindrome (98559095589).

The spelling of 54413064144 in words is "fifty-four billion, four hundred thirteen million, sixty-four thousand, one hundred forty-four".