399846282648993 has 12 divisors (see below), whose sum is σ = 577565312016420. Its totient is φ = 266559771319296.

The previous prime is 399846282648983. The next prime is 399846282649001.

399846282648993 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 46 + 2 + 82 + 6 + 489 + 9 + 3 = 666.

399846282648993 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 6782628505104 + 393063654143889 = 2604348^2 + 19825833^2 .

It is not a de Polignac number, because 399846282648993 - 2⁴ = 399846282648977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (399846282648983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367519428 + ... + 368605781.

It is an arithmetic number, because the mean of its divisors is an integer number (48130442668035).

Almost surely, 2^{399846282648993} is an apocalyptic number.

It is an amenable number.

399846282648993 is a deficient number, since it is larger than the sum of its proper divisors (177719029367427).

399846282648993 is a wasteful number, since it uses less digits than its factorization.

399846282648993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736185568 (or 736185565 counting only the distinct ones).

The product of its digits is 69657034752, while the sum is 90.

The spelling of 399846282648993 in words is "three hundred ninety-nine trillion, eight hundred forty-six billion, two hundred eighty-two million, six hundred forty-eight thousand, nine hundred ninety-three".