345453411311000 has 128 divisors (see below), whose sum is σ = 810067542672960. Its totient is φ = 137889842944000.

The previous prime is 345453411310979. The next prime is 345453411311011. The reversal of 345453411311000 is 113114354543.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1411810667 + ... + 1412055333.

Almost surely, 2^{345453411311000} 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 345453411311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405033771336480).

345453411311000 is an abundant number, since it is smaller than the sum of its proper divisors (464614131361960).

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

345453411311000 is a wasteful number, since it uses less digits than its factorization.

345453411311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247662 (or 247648 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 345453411311000 its reverse (113114354543), we get a palindrome (345566525665543).

The spelling of 345453411311000 in words is "three hundred forty-five trillion, four hundred fifty-three billion, four hundred eleven million, three hundred eleven thousand".