1341686218752 has 1088 divisors, whose sum is σ = 4704966558720. Its totient is φ = 378383892480.

The previous prime is 1341686218751. The next prime is 1341686218757. The reversal of 1341686218752 is 2578126861431.

It is a happy number.

1341686218752 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 6 + 8 + 621 + 8 + 7 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1341686218751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36261789678 + ... + 36261789714.

Almost surely, 2^{1341686218752} is an apocalyptic number.

1341686218752 is a gapful number since it is divisible by the number (12) 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 1341686218752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352483279360).

1341686218752 is an abundant number, since it is smaller than the sum of its proper divisors (3363280339968).

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

1341686218752 is an frugal number, since it uses more digits than its factorization.

1341686218752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 76 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1341686218752 in words is "one trillion, three hundred forty-one billion, six hundred eighty-six million, two hundred eighteen thousand, seven hundred fifty-two".