345665556000 has 1344 divisors, whose sum is σ = 1423100689920. Its totient is φ = 81965260800.

The previous prime is 345665555987. The next prime is 345665556007. The reversal of 345665556000 is 655566543.

345665556000 is a `hidden beast` number, since 34 + 5 + 6 + 6 + 5 + 5 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (345665556007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 941867817 + ... + 941868183.

It is an arithmetic number, because the mean of its divisors is an integer number (1058854680).

Almost surely, 2^345665556000 is an apocalyptic number.

345665556000 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 345665556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711550344960).

345665556000 is an abundant number, since it is smaller than the sum of its proper divisors (1077435133920).

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

345665556000 is a wasteful number, since it uses less digits than its factorization.

345665556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 345665556000 in words is "three hundred forty-five billion, six hundred sixty-five million, five hundred fifty-six thousand".