1346849106900 has 288 divisors, whose sum is σ = 4559333184000. Its totient is φ = 303487142400.

The previous prime is 1346849106887. The next prime is 1346849106907. The reversal of 1346849106900 is 96019486431.

It is a super-2 number, since 2×1346849106900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346849106907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3120451 + ... + 3525749.

It is an arithmetic number, because the mean of its divisors is an integer number (15831018000).

Almost surely, 2^{1346849106900} is an apocalyptic number.

1346849106900 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 1346849106900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279666592000).

1346849106900 is an abundant number, since it is smaller than the sum of its proper divisors (3212484077100).

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

1346849106900 is a wasteful number, since it uses less digits than its factorization.

1346849106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405399 (or 405392 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 1346849106900 in words is "one trillion, three hundred forty-six billion, eight hundred forty-nine million, one hundred six thousand, nine hundred".