54113561361648 has 240 divisors, whose sum is σ = 152466429024000. Its totient is φ = 17916460388352.

The previous prime is 54113561361647. The next prime is 54113561361679. The reversal of 54113561361648 is 84616316531145.

54113561361648 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 3 + 5 + 6 + 13 + 616 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54113561361594 and 54113561361603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54113561361647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19902007233 + ... + 19902009951.

It is an arithmetic number, because the mean of its divisors is an integer number (635276787600).

Almost surely, 2^{54113561361648} 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 54113561361648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76233214512000).

54113561361648 is an abundant number, since it is smaller than the sum of its proper divisors (98352867662352).

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

54113561361648 is a wasteful number, since it uses less digits than its factorization.

54113561361648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4415 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 54113561361648 in words is "fifty-four trillion, one hundred thirteen billion, five hundred sixty-one million, three hundred sixty-one thousand, six hundred forty-eight".