1346844829680 has 320 divisors, whose sum is σ = 5304260505600. Its totient is φ = 307711180800.

The previous prime is 1346844829579. The next prime is 1346844829807. The reversal of 1346844829680 is 869284486431.

1346844829680 is a `hidden beast` number, since 1 + 3 + 4 + 68 + 4 + 482 + 96 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35528176 + ... + 35566064.

It is an arithmetic number, because the mean of its divisors is an integer number (16575814080).

Almost surely, 2^{1346844829680} is an apocalyptic number.

1346844829680 is a gapful number since it is divisible by the number (10) 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 1346844829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652130252800).

1346844829680 is an abundant number, since it is smaller than the sum of its proper divisors (3957415675920).

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

1346844829680 is a wasteful number, since it uses less digits than its factorization.

1346844829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40269 (or 40257 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 1346844829680 in words is "one trillion, three hundred forty-six billion, eight hundred forty-four million, eight hundred twenty-nine thousand, six hundred eighty".