345850583949 has 32 divisors (see below), whose sum is σ = 584242323840. Its totient is φ = 200311646976.

The previous prime is 345850583941. The next prime is 345850583951. The reversal of 345850583949 is 949385058543.

345850583949 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 5 + 0 + 583 + 9 + 49 = 666.

It is not a de Polignac number, because 345850583949 - 2³ = 345850583941 is a prime.

It is a super-2 number, since 2×345850583949² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345850583941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28974307 + ... + 28986240.

It is an arithmetic number, because the mean of its divisors is an integer number (18257572620).

Almost surely, 2^345850583949 is an apocalyptic number.

345850583949 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

345850583949 is a deficient number, since it is larger than the sum of its proper divisors (238391739891).

345850583949 is a wasteful number, since it uses less digits than its factorization.

345850583949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57960586 (or 57960580 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 345850583949 in words is "three hundred forty-five billion, eight hundred fifty million, five hundred eighty-three thousand, nine hundred forty-nine".