341356539783168 has 1344 divisors, whose sum is σ = 1300154873472000. Its totient is φ = 87122891243520.

The previous prime is 341356539783167. The next prime is 341356539783197. The reversal of 341356539783168 is 861387935653143.

341356539783168 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 5 + 6 + 539 + 7 + 83 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×341356539783168² (a number of 30 digits) contains 22 as substring.

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 = 341356539783096 and 341356539783105.

It is not an unprimeable number, because it can be changed into a prime (341356539783167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4211689908 + ... + 4211770956.

It is an arithmetic number, because the mean of its divisors is an integer number (967377138000).

Almost surely, 2^{341356539783168} 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 341356539783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650077436736000).

341356539783168 is an abundant number, since it is smaller than the sum of its proper divisors (958798333688832).

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

341356539783168 is an equidigital number, since it uses as much as digits as its factorization.

341356539783168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81140 (or 81105 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 341356539783168 in words is "three hundred forty-one trillion, three hundred fifty-six billion, five hundred thirty-nine million, seven hundred eighty-three thousand, one hundred sixty-eight".