54211611245 has 48 divisors (see below), whose sum is σ = 74284000560. Its totient is φ = 37906176000.

The previous prime is 54211611241. The next prime is 54211611247.

It is a happy number.

54211611245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 2148693316 + 52062917929 = 46354^2 + 228173^2 .

It is not a de Polignac number, because 54211611245 - 2² = 54211611241 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54211611241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4221935 + ... + 4234755.

It is an arithmetic number, because the mean of its divisors is an integer number (1547583345).

Almost surely, 2^54211611245 is an apocalyptic number.

54211611245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54211611245 is a deficient number, since it is larger than the sum of its proper divisors (20072389315).

54211611245 is a wasteful number, since it uses less digits than its factorization.

54211611245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13107 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The spelling of 54211611245 in words is "fifty-four billion, two hundred eleven million, six hundred eleven thousand, two hundred forty-five".