341653631155200 has 6336 divisors, whose sum is σ = 1689690352896000. Its totient is φ = 65236185907200.

The previous prime is 341653631155159. The next prime is 341653631155231. The reversal of 341653631155200 is 2551136356143.

341653631155200 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 5 + 3 + 6 + 3 + 115 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 448953522820 + ... + 448953523580.

Almost surely, 2^{341653631155200} is an apocalyptic number.

341653631155200 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 341653631155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844845176448000).

341653631155200 is an abundant number, since it is smaller than the sum of its proper divisors (1348036721740800).

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

341653631155200 is a wasteful number, since it uses less digits than its factorization.

341653631155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 341653631155200 in words is "three hundred forty-one trillion, six hundred fifty-three billion, six hundred thirty-one million, one hundred fifty-five thousand, two hundred".