1346149988352 has 768 divisors, whose sum is σ = 4435690896000. Its totient is φ = 400806641664.

The previous prime is 1346149988317. The next prime is 1346149988371. The reversal of 1346149988352 is 2538899416431.

1346149988352 is a `hidden beast` number, since 1 + 3 + 4 + 61 + 499 + 8 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1346149988352² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1346149988352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3390805818 + ... + 3390806214.

Almost surely, 2^{1346149988352} is an apocalyptic number.

1346149988352 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 1346149988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217845448000).

1346149988352 is an abundant number, since it is smaller than the sum of its proper divisors (3089540907648).

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

1346149988352 is a wasteful number, since it uses less digits than its factorization.

1346149988352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 557 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 1346149988352 in words is "one trillion, three hundred forty-six billion, one hundred forty-nine million, nine hundred eighty-eight thousand, three hundred fifty-two".