342111221568 has 280 divisors, whose sum is σ = 1087393507200. Its totient is φ = 105968259072.

The previous prime is 342111221561. The next prime is 342111221623. The reversal of 342111221568 is 865122111243.

342111221568 is a `hidden beast` number, since 3 + 421 + 1 + 1 + 221 + 5 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342111221561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6937543 + ... + 6986681.

It is an arithmetic number, because the mean of its divisors is an integer number (3883548240).

Almost surely, 2^342111221568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342111221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543696753600).

342111221568 is an abundant number, since it is smaller than the sum of its proper divisors (745282285632).

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

342111221568 is a wasteful number, since it uses less digits than its factorization.

342111221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49259 (or 49240 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The spelling of 342111221568 in words is "three hundred forty-two billion, one hundred eleven million, two hundred twenty-one thousand, five hundred sixty-eight".