341355672728064 has 720 divisors, whose sum is σ = 1086090090928128. Its totient is φ = 106805518368768.

The previous prime is 341355672728039. The next prime is 341355672728159. The reversal of 341355672728064 is 460827276553143.

341355672728064 is a `hidden beast` number, since 3 + 4 + 1 + 3 + 5 + 567 + 2 + 7 + 2 + 8 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 341355672727992 and 341355672728010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21871951749 + ... + 21871967355.

Almost surely, 2^{341355672728064} is an apocalyptic number.

341355672728064 is a gapful number since it is divisible by the number (34) 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 341355672728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543045045464064).

341355672728064 is an abundant number, since it is smaller than the sum of its proper divisors (744734418200064).

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

341355672728064 is an frugal number, since it uses more digits than its factorization.

341355672728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16049 (or 16012 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 341355672728064 in words is "three hundred forty-one trillion, three hundred fifty-five billion, six hundred seventy-two million, seven hundred twenty-eight thousand, sixty-four".