1346746318848 has 648 divisors, whose sum is σ = 4727218427568. Its totient is φ = 367691563008.

The previous prime is 1346746318807. The next prime is 1346746318877. The reversal of 1346746318848 is 8488136476431.

1346746318848 is a `hidden beast` number, since 1 + 34 + 67 + 463 + 1 + 8 + 84 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1329462790 + ... + 1329463802.

It is an arithmetic number, because the mean of its divisors is an integer number (7295090166).

Almost surely, 2^{1346746318848} is an apocalyptic number.

1346746318848 is a gapful number since it is divisible by the number (18) 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 1346746318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363609213784).

1346746318848 is an abundant number, since it is smaller than the sum of its proper divisors (3380472108720).

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

1346746318848 is an equidigital number, since it uses as much as digits as its factorization.

1346746318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1048 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 1346746318848 in words is "one trillion, three hundred forty-six billion, seven hundred forty-six million, three hundred eighteen thousand, eight hundred forty-eight".