345283656681600 has 7680 divisors, whose sum is σ = 1727769415680000. Its totient is φ = 67274816716800.

The previous prime is 345283656681517. The next prime is 345283656681671. The reversal of 345283656681600 is 6186656382543.

345283656681600 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 8 + 3 + 6 + 566 + 8 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 959 ways as a sum of consecutive naturals, for example, 824066006191 + ... + 824066006609.

It is an arithmetic number, because the mean of its divisors is an integer number (224969976000).

Almost surely, 2^{345283656681600} is an apocalyptic number.

345283656681600 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 345283656681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863884707840000).

345283656681600 is an abundant number, since it is smaller than the sum of its proper divisors (1382485758998400).

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

345283656681600 is a wasteful number, since it uses less digits than its factorization.

345283656681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 345283656681600 in words is "three hundred forty-five trillion, two hundred eighty-three billion, six hundred fifty-six million, six hundred eighty-one thousand, six hundred".