55124046646249 has 27 divisors (see below), whose sum is σ = 64255898043927. Its totient is φ = 47152114181424.

The previous prime is 55124046646237. The next prime is 55124046646321. The reversal of 55124046646249 is 94264664042155.

The square root of 55124046646249 is 7424557.

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

It can be written as a sum of positive squares in only one way, i.e., 53927359425625 + 1196687220624 = 7343525^2 + 1093932^2 .

It is a de Polignac number, because none of the positive numbers 2^k-55124046646249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55124046646193 and 55124046646202.

It is not an unprimeable number, because it can be changed into a prime (55124046646649) 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 26 ways as a sum of consecutive naturals, for example, 38095401244 + ... + 38095402690.

It is an arithmetic number, because the mean of its divisors is an integer number (2379848075701).

Almost surely, 2^{55124046646249} is an apocalyptic number.

55124046646249 is the 7424557-th square number.

55124046646249 is the 3712279-th centered octagonal number.

It is an amenable number.

55124046646249 is a deficient number, since it is larger than the sum of its proper divisors (9131851397678).

55124046646249 is an frugal number, since it uses more digits than its factorization.

55124046646249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 2187 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 58.

The spelling of 55124046646249 in words is "fifty-five trillion, one hundred twenty-four billion, forty-six million, six hundred forty-six thousand, two hundred forty-nine".