345020205140460 has 144 divisors (see below), whose sum is σ = 1060695670114080. Its totient is φ = 90770050483200.

The previous prime is 345020205140449. The next prime is 345020205140483. The reversal of 345020205140460 is 64041502020543.

345020205140460 is a `hidden beast` number, since 3 + 4 + 50 + 2 + 0 + 2 + 0 + 5 + 140 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33164866 + ... + 42307785.

It is an arithmetic number, because the mean of its divisors is an integer number (7365942153570).

Almost surely, 2^{345020205140460} is an apocalyptic number.

345020205140460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345020205140460 is an abundant number, since it is smaller than the sum of its proper divisors (715675464973620).

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

345020205140460 is a wasteful number, since it uses less digits than its factorization.

345020205140460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75473008 (or 75473003 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 345020205140460 in words is "three hundred forty-five trillion, twenty billion, two hundred five million, one hundred forty thousand, four hundred sixty".