345055765017600 has 4224 divisors, whose sum is σ = 1618281916661760. Its totient is φ = 70087016448000.

The previous prime is 345055765017599. The next prime is 345055765017619. The reversal of 345055765017600 is 6710567550543.

345055765017600 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 5 + 5 + 76 + 501 + 7 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 528416178874 + ... + 528416179526.

Almost surely, 2^{345055765017600} is an apocalyptic number.

345055765017600 is a gapful number since it is divisible by the number (30) 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 345055765017600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809140958330880).

345055765017600 is an abundant number, since it is smaller than the sum of its proper divisors (1273226151644160).

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

345055765017600 is a wasteful number, since it uses less digits than its factorization.

345055765017600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 345055765017600 in words is "three hundred forty-five trillion, fifty-five billion, seven hundred sixty-five million, seventeen thousand, six hundred".