345444578856 has 192 divisors, whose sum is σ = 1070493278400. Its totient is φ = 99754758144.

The previous prime is 345444578849. The next prime is 345444578861. The reversal of 345444578856 is 658875444543.

345444578856 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 4 + 4 + 578 + 8 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345444578793 and 345444578802.

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, 1812120 + ... + 1993656.

It is an arithmetic number, because the mean of its divisors is an integer number (5575485825).

Almost surely, 2^345444578856 is an apocalyptic number.

345444578856 is a gapful number since it is divisible by the number (36) 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 345444578856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535246639200).

345444578856 is an abundant number, since it is smaller than the sum of its proper divisors (725048699544).

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

345444578856 is a wasteful number, since it uses less digits than its factorization.

345444578856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181688 (or 181681 counting only the distinct ones).

The product of its digits is 258048000, while the sum is 63.

The spelling of 345444578856 in words is "three hundred forty-five billion, four hundred forty-four million, five hundred seventy-eight thousand, eight hundred fifty-six".