345624660513 has 48 divisors (see below), whose sum is σ = 549340713792. Its totient is φ = 209385950400.

The previous prime is 345624660463. The next prime is 345624660523. The reversal of 345624660513 is 315066426543.

345624660513 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 24 + 6 + 605 + 13 = 666.

It is not a de Polignac number, because 345624660513 - 2⁶ = 345624660449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345624660523) 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 47 ways as a sum of consecutive naturals, for example, 44210581 + ... + 44218397.

It is an arithmetic number, because the mean of its divisors is an integer number (11444598204).

Almost surely, 2^345624660513 is an apocalyptic number.

345624660513 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345624660513 is a deficient number, since it is larger than the sum of its proper divisors (203716053279).

345624660513 is a wasteful number, since it uses less digits than its factorization.

345624660513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11522 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 345624660513 in words is "three hundred forty-five billion, six hundred twenty-four million, six hundred sixty thousand, five hundred thirteen".