614048993 has 24 divisors (see below), whose sum is σ = 668240760. Its totient is φ = 564019200.

The previous prime is 614048989. The next prime is 614048999. The reversal of 614048993 is 399840416.

It can be written as a sum of positive squares in 12 ways, for example, as 15904144 + 598144849 = 3988^2 + 24457^2 .

It is not a de Polignac number, because 614048993 - 2² = 614048989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (614048999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181505 + ... + 3181697.

It is an arithmetic number, because the mean of its divisors is an integer number (27843365).

Almost surely, 2^614048993 is an apocalyptic number.

It is an amenable number.

614048993 is a deficient number, since it is larger than the sum of its proper divisors (54191767).

614048993 is a wasteful number, since it uses less digits than its factorization.

614048993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 614048993 is about 24780.0119652917. The cubic root of 614048993 is about 849.9649318866.

The spelling of 614048993 in words is "six hundred fourteen million, forty-eight thousand, nine hundred ninety-three".