345455235431334 has 384 divisors, whose sum is σ = 918254278656000. Its totient is φ = 91676261355264.

The previous prime is 345455235431321. The next prime is 345455235431387. The reversal of 345455235431334 is 433134532554543.

345455235431334 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 52 + 3 + 543 + 13 + 34 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25659596287 + ... + 25659609749.

It is an arithmetic number, because the mean of its divisors is an integer number (2391287184000).

Almost surely, 2^{345455235431334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345455235431334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459127139328000).

345455235431334 is an abundant number, since it is smaller than the sum of its proper divisors (572799043224666).

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

345455235431334 is a wasteful number, since it uses less digits than its factorization.

345455235431334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14632 (or 14629 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 54.

Adding to 345455235431334 its reverse (433134532554543), we get a palindrome (778589767985877).

The spelling of 345455235431334 in words is "three hundred forty-five trillion, four hundred fifty-five billion, two hundred thirty-five million, four hundred thirty-one thousand, three hundred thirty-four".