345531511434112 has 192 divisors, whose sum is σ = 776785448934000. Its totient is φ = 152631717396480.

The previous prime is 345531511434079. The next prime is 345531511434121. The reversal of 345531511434112 is 211434115135543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74355312 + ... + 78865552.

Almost surely, 2^{345531511434112} is an apocalyptic number.

345531511434112 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 345531511434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388392724467000).

345531511434112 is an abundant number, since it is smaller than the sum of its proper divisors (431253937499888).

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

345531511434112 is a wasteful number, since it uses less digits than its factorization.

345531511434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510417 (or 4510388 counting only the distinct ones).

The product of its digits is 432000, while the sum is 43.

Adding to 345531511434112 its reverse (211434115135543), we get a palindrome (556965626569655).

The spelling of 345531511434112 in words is "three hundred forty-five trillion, five hundred thirty-one billion, five hundred eleven million, four hundred thirty-four thousand, one hundred twelve".