345163408416 has 144 divisors (see below), whose sum is σ = 1019416671000. Its totient is φ = 110686777344.

The previous prime is 345163408393. The next prime is 345163408423. The reversal of 345163408416 is 614804361543.

345163408416 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 634 + 0 + 8 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200614410000 + 144548998416 = 447900^2 + 380196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 766410 + ... + 1130358.

Almost surely, 2^345163408416 is an apocalyptic number.

345163408416 is a gapful number since it is divisible by the number (36) 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 345163408416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509708335500).

345163408416 is an abundant number, since it is smaller than the sum of its proper divisors (674253262584).

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

345163408416 is a wasteful number, since it uses less digits than its factorization.

345163408416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364091 (or 364080 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 345163408416 its reverse (614804361543), we get a palindrome (959967769959).

The spelling of 345163408416 in words is "three hundred forty-five billion, one hundred sixty-three million, four hundred eight thousand, four hundred sixteen".