346458222931968 has 624 divisors, whose sum is σ = 1168632558812160. Its totient is φ = 96834199486464.

The previous prime is 346458222931879. The next prime is 346458222931969. The reversal of 346458222931968 is 869139222854643.

346458222931968 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 5 + 82 + 229 + 319 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 346458222931896 and 346458222931905.

It is not an unprimeable number, because it can be changed into a prime (346458222931969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29823375696 + ... + 29823387312.

It is an arithmetic number, because the mean of its divisors is an integer number (1872808587840).

Almost surely, 2^{346458222931968} 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 346458222931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584316279406080).

346458222931968 is an abundant number, since it is smaller than the sum of its proper divisors (822174335880192).

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

346458222931968 is a wasteful number, since it uses less digits than its factorization.

346458222931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14160 (or 14135 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 346458222931968 in words is "three hundred forty-six trillion, four hundred fifty-eight billion, two hundred twenty-two million, nine hundred thirty-one thousand, nine hundred sixty-eight".