345632441456832 has 112 divisors (see below), whose sum is σ = 968285832377472. Its totient is φ = 108432955330560.

The previous prime is 345632441456831. The next prime is 345632441456843. The reversal of 345632441456832 is 238654144236543.

It is not an unprimeable number, because it can be changed into a prime (345632441456831) 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 15 ways as a sum of consecutive naturals, for example, 643402107 + ... + 643939077.

It is an arithmetic number, because the mean of its divisors is an integer number (8645409217656).

Almost surely, 2^{345632441456832} is an apocalyptic number.

345632441456832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345632441456832 is an abundant number, since it is smaller than the sum of its proper divisors (622653390920640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345632441456832 is a wasteful number, since it uses less digits than its factorization.

345632441456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734206 (or 734196 counting only the distinct ones).

The product of its digits is 199065600, while the sum is 60.

The spelling of 345632441456832 in words is "three hundred forty-five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, eight hundred thirty-two".