341812071020160 has 1536 divisors, whose sum is σ = 1371460463493120. Its totient is φ = 80781198704640.

The previous prime is 341812071020113. The next prime is 341812071020171. The reversal of 341812071020160 is 61020170218143.

341812071020160 is a `hidden beast` number, since 3 + 4 + 181 + 207 + 10 + 201 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7959647649 + ... + 7959690591.

It is an arithmetic number, because the mean of its divisors is an integer number (892877905920).

Almost surely, 2^{341812071020160} is an apocalyptic number.

341812071020160 is a gapful number since it is divisible by the number (30) 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 341812071020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685730231746560).

341812071020160 is an abundant number, since it is smaller than the sum of its proper divisors (1029648392472960).

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

341812071020160 is a wasteful number, since it uses less digits than its factorization.

341812071020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43148 (or 43124 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 341812071020160 in words is "three hundred forty-one trillion, eight hundred twelve billion, seventy-one million, twenty thousand, one hundred sixty".