345630268863 has 96 divisors (see below), whose sum is σ = 571233297600. Its totient is φ = 206361492480.

The previous prime is 345630268859. The next prime is 345630268873. The reversal of 345630268863 is 368862036543.

345630268863 is a `hidden beast` number, since 3 + 456 + 30 + 26 + 88 + 63 = 666.

It is not a de Polignac number, because 345630268863 - 2² = 345630268859 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345630268873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85191531 + ... + 85195587.

It is an arithmetic number, because the mean of its divisors is an integer number (5950346850).

Almost surely, 2^345630268863 is an apocalyptic number.

345630268863 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345630268863 is a deficient number, since it is larger than the sum of its proper divisors (225603028737).

345630268863 is a wasteful number, since it uses less digits than its factorization.

345630268863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 345630268863 in words is "three hundred forty-five billion, six hundred thirty million, two hundred sixty-eight thousand, eight hundred sixty-three".