1341997313184 has 576 divisors, whose sum is σ = 4589364648960. Its totient is φ = 381474385920.

The previous prime is 1341997313183. The next prime is 1341997313231. The reversal of 1341997313184 is 4813137991431.

It is a happy number.

1341997313184 is a `hidden beast` number, since 1 + 3 + 419 + 97 + 3 + 131 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1341997313184.

It is not an unprimeable number, because it can be changed into a prime (1341997313183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167389944 + ... + 167397960.

It is an arithmetic number, because the mean of its divisors is an integer number (7967646960).

Almost surely, 2^{1341997313184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341997313184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294682324480).

1341997313184 is an abundant number, since it is smaller than the sum of its proper divisors (3247367335776).

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

1341997313184 is a wasteful number, since it uses less digits than its factorization.

1341997313184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175 (or 8155 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 1341997313184 in words is "one trillion, three hundred forty-one billion, nine hundred ninety-seven million, three hundred thirteen thousand, one hundred eighty-four".