341363000160 has 1152 divisors, whose sum is σ = 1585006496640. Its totient is φ = 67777855488.

The previous prime is 341363000159. The next prime is 341363000213. The reversal of 341363000160 is 61000363143.

341363000160 is a `hidden beast` number, since 3 + 4 + 13 + 630 + 0 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 46777632 + ... + 46784928.

It is an arithmetic number, because the mean of its divisors is an integer number (1375873695).

Almost surely, 2^341363000160 is an apocalyptic number.

341363000160 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 341363000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792503248320).

341363000160 is an abundant number, since it is smaller than the sum of its proper divisors (1243643496480).

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

341363000160 is a wasteful number, since it uses less digits than its factorization.

341363000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 341363000160 in words is "three hundred forty-one billion, three hundred sixty-three million, one hundred sixty", and thus it is an aban number.