54736189388881 has 243 divisors, whose sum is σ = 80189892827793. Its totient is φ = 37202661175680.

The previous prime is 54736189388879. The next prime is 54736189388917. The reversal of 54736189388881 is 18888398163745.

The square root of 54736189388881 is 7398391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21036028115025 + 33700161273856 = 4586505^2 + 5805184^2 .

It is not a de Polignac number, because 54736189388881 - 2¹ = 54736189388879 is a prime.

It is a super-2 number, since 2×54736189388881² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54736189388861) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 140709998235 + ... + 140709998623.

Almost surely, 2^{54736189388881} is an apocalyptic number.

54736189388881 is the 7398391-st square number.

54736189388881 is the 3699196-th centered octagonal number.

It is an amenable number.

54736189388881 is a deficient number, since it is larger than the sum of its proper divisors (25453703438912).

54736189388881 is a wasteful number, since it uses less digits than its factorization.

54736189388881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its digits is 2229534720, while the sum is 79.

The spelling of 54736189388881 in words is "fifty-four trillion, seven hundred thirty-six billion, one hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred eighty-one".