1345501406272 has 112 divisors (see below), whose sum is σ = 2853384468480. Its totient is φ = 627639667200.

The previous prime is 1345501406233. The next prime is 1345501406273. The reversal of 1345501406272 is 2726041055431.

It is not an unprimeable number, because it can be changed into a prime (1345501406273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78643543 + ... + 78660649.

It is an arithmetic number, because the mean of its divisors is an integer number (25476647040).

Almost surely, 2^{1345501406272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345501406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426692234240).

1345501406272 is an abundant number, since it is smaller than the sum of its proper divisors (1507883062208).

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

1345501406272 is a wasteful number, since it uses less digits than its factorization.

1345501406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18120 (or 18110 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 1345501406272 in words is "one trillion, three hundred forty-five billion, five hundred one million, four hundred six thousand, two hundred seventy-two".