2405105355345 has 192 divisors, whose sum is σ = 4890949060608. Its totient is φ = 980463052800.

The previous prime is 2405105355313. The next prime is 2405105355439. The reversal of 2405105355345 is 5435535015042.

It is not a de Polignac number, because 2405105355345 - 2⁵ = 2405105355313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2405105355297 and 2405105355306.

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, 2651714382 + ... + 2651715288.

It is an arithmetic number, because the mean of its divisors is an integer number (25473693024).

Almost surely, 2^{2405105355345} is an apocalyptic number.

It is an amenable number.

2405105355345 is an abundant number, since it is smaller than the sum of its proper divisors (2485843705263).

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

2405105355345 is a wasteful number, since it uses less digits than its factorization.

2405105355345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 42.

The spelling of 2405105355345 in words is "two trillion, four hundred five billion, one hundred five million, three hundred fifty-five thousand, three hundred forty-five".