345533433351012 has 96 divisors (see below), whose sum is σ = 901796919820160. Its totient is φ = 114411745365120.

The previous prime is 345533433350909. The next prime is 345533433351013. The reversal of 345533433351012 is 210153334335543.

It is a happy number.

345533433351012 is a `hidden beast` number, since 3 + 4 + 5 + 53 + 3 + 43 + 33 + 510 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (345533433351013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7251738 + ... + 27270030.

Almost surely, 2^{345533433351012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345533433351012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450898459910080).

345533433351012 is an abundant number, since it is smaller than the sum of its proper divisors (556263486469148).

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

345533433351012 is a wasteful number, since it uses less digits than its factorization.

345533433351012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20019370 (or 20019362 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 45.

Adding to 345533433351012 its reverse (210153334335543), we get a palindrome (555686767686555).

The spelling of 345533433351012 in words is "three hundred forty-five trillion, five hundred thirty-three billion, four hundred thirty-three million, three hundred fifty-one thousand, twelve".