1345446021300 has 288 divisors, whose sum is σ = 4129307707392. Its totient is φ = 337522859520.

The previous prime is 1345446021287. The next prime is 1345446021383. The reversal of 1345446021300 is 31206445431.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 343486942 + ... + 343490858.

It is an arithmetic number, because the mean of its divisors is an integer number (14337873984).

Almost surely, 2^{1345446021300} is an apocalyptic number.

1345446021300 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 1345446021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064653853696).

1345446021300 is an abundant number, since it is smaller than the sum of its proper divisors (2783861686092).

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

1345446021300 is a wasteful number, since it uses less digits than its factorization.

1345446021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4760 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 1345446021300 in words is "one trillion, three hundred forty-five billion, four hundred forty-six million, twenty-one thousand, three hundred".