341188898948352 has 1080 divisors, whose sum is σ = 1349470848166056. Its totient is φ = 84690659966976.

The previous prime is 341188898948333. The next prime is 341188898948393. The reversal of 341188898948352 is 253849898881143.

It is a happy number.

341188898948352 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 8 + 8 + 8 + 9 + 89 + 483 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125256924446976 + 215931974501376 = 11191824^2 + 14694624^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 223790428 + ... + 225309860.

Almost surely, 2^{341188898948352} is an apocalyptic number.

341188898948352 is a gapful number since it is divisible by the number (32) 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 341188898948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674735424083028).

341188898948352 is an abundant number, since it is smaller than the sum of its proper divisors (1008281949217704).

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

341188898948352 is a wasteful number, since it uses less digits than its factorization.

341188898948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519505 (or 1519475 counting only the distinct ones).

The product of its digits is 3822059520, while the sum is 81.

The spelling of 341188898948352 in words is "three hundred forty-one trillion, one hundred eighty-eight billion, eight hundred ninety-eight million, nine hundred forty-eight thousand, three hundred fifty-two".