345630456633 has 64 divisors (see below), whose sum is σ = 576212631552. Its totient is φ = 179031055680.

The previous prime is 345630456553. The next prime is 345630456659. The reversal of 345630456633 is 336654036543.

It is a happy number.

345630456633 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 345630456633 - 2⁸ = 345630456377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345630456683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156889710 + ... + 156891912.

It is an arithmetic number, because the mean of its divisors is an integer number (9003322368).

Almost surely, 2^345630456633 is an apocalyptic number.

345630456633 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

345630456633 is a deficient number, since it is larger than the sum of its proper divisors (230582174919).

345630456633 is a wasteful number, since it uses less digits than its factorization.

345630456633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874.

The product of its (nonzero) digits is 6998400, while the sum is 48.

The spelling of 345630456633 in words is "three hundred forty-five billion, six hundred thirty million, four hundred fifty-six thousand, six hundred thirty-three".