345912063224832 has 1056 divisors, whose sum is σ = 1158493012348672. Its totient is φ = 102404870701056.

The previous prime is 345912063224831. The next prime is 345912063224857. The reversal of 345912063224832 is 238422360219543.

345912063224832 is a `hidden beast` number, since 3 + 4 + 5 + 9 + 120 + 6 + 32 + 2 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (345912063224831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9319486338 + ... + 9319523454.

Almost surely, 2^{345912063224832} is an apocalyptic number.

345912063224832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345912063224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579246506174336).

345912063224832 is an abundant number, since it is smaller than the sum of its proper divisors (812580949123840).

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

345912063224832 is a wasteful number, since it uses less digits than its factorization.

345912063224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37275 (or 37245 counting only the distinct ones).

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

The spelling of 345912063224832 in words is "three hundred forty-five trillion, nine hundred twelve billion, sixty-three million, two hundred twenty-four thousand, eight hundred thirty-two".