345422615516100 has 576 divisors, whose sum is σ = 1217078821969920. Its totient is φ = 83686979174400.

The previous prime is 345422615516039. The next prime is 345422615516177. The reversal of 345422615516100 is 1615516224543.

345422615516100 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 2 + 2 + 615 + 5 + 16 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214883340 + ... + 216484860.

It is an arithmetic number, because the mean of its divisors is an integer number (2112984065920).

Almost surely, 2^{345422615516100} is an apocalyptic number.

345422615516100 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 345422615516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608539410984960).

345422615516100 is an abundant number, since it is smaller than the sum of its proper divisors (871656206453820).

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

345422615516100 is a wasteful number, since it uses less digits than its factorization.

345422615516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601725 (or 1601712 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 345422615516100 in words is "three hundred forty-five trillion, four hundred twenty-two billion, six hundred fifteen million, five hundred sixteen thousand, one hundred".