345352400112 has 160 divisors (see below), whose sum is σ = 938459934720. Its totient is φ = 109226557440.

The previous prime is 345352400077. The next prime is 345352400117. The reversal of 345352400112 is 211004253543.

It is a super-2 number, since 2×345352400112² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345352400112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345352400117) 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, 133287937 + ... + 133290527.

It is an arithmetic number, because the mean of its divisors is an integer number (5865374592).

Almost surely, 2^345352400112 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 345352400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469229967360).

345352400112 is an abundant number, since it is smaller than the sum of its proper divisors (593107534608).

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

345352400112 is a wasteful number, since it uses less digits than its factorization.

345352400112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 345352400112 its reverse (211004253543), we get a palindrome (556356653655).

The spelling of 345352400112 in words is "three hundred forty-five billion, three hundred fifty-two million, four hundred thousand, one hundred twelve".