341563656591360 has 2688 divisors, whose sum is σ = 1529317625472000. Its totient is φ = 71406200291328.

The previous prime is 341563656591247. The next prime is 341563656591383. The reversal of 341563656591360 is 63195656365143.

341563656591360 is a `hidden beast` number, since 3 + 4 + 1 + 5 + 6 + 3 + 6 + 5 + 6 + 591 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 28792344789 + ... + 28792356651.

It is an arithmetic number, because the mean of its divisors is an integer number (568942569000).

Almost surely, 2^{341563656591360} is an apocalyptic number.

341563656591360 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 341563656591360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764658812736000).

341563656591360 is an abundant number, since it is smaller than the sum of its proper divisors (1187753968880640).

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

341563656591360 is a wasteful number, since it uses less digits than its factorization.

341563656591360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11928 counting only the distinct ones).

The product of its (nonzero) digits is 157464000, while the sum is 63.

The spelling of 341563656591360 in words is "three hundred forty-one trillion, five hundred sixty-three billion, six hundred fifty-six million, five hundred ninety-one thousand, three hundred sixty".