345955221792 has 144 divisors (see below), whose sum is σ = 1038128364000. Its totient is φ = 108981199872.

The previous prime is 345955221761. The next prime is 345955221823. The reversal of 345955221792 is 297122559543.

345955221792 is a `hidden beast` number, since 3 + 45 + 9 + 5 + 522 + 1 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (345955221761) and next prime (345955221823).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2160759 + ... + 2315337.

It is an arithmetic number, because the mean of its divisors is an integer number (7209224750).

Almost surely, 2^345955221792 is an apocalyptic number.

345955221792 is a gapful number since it is divisible by the number (32) 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 345955221792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519064182000).

345955221792 is an abundant number, since it is smaller than the sum of its proper divisors (692173142208).

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

345955221792 is a wasteful number, since it uses less digits than its factorization.

345955221792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155023 (or 155012 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 345955221792 in words is "three hundred forty-five billion, nine hundred fifty-five million, two hundred twenty-one thousand, seven hundred ninety-two".