1372871516416 has 81 divisors (see below), whose sum is σ = 2784439434861. Its totient is φ = 675571792896.

The previous prime is 1372871516383. The next prime is 1372871516437. The reversal of 1372871516416 is 6146151782731.

The square root of 1372871516416 is 1171696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1352848134400 + 20023382016 = 1163120^2 + 141504^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 1256057566 + ... + 1256058658.

Almost surely, 2^{1372871516416} is an apocalyptic number.

1372871516416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1372871516416 is the 1171696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372871516416

1372871516416 is an abundant number, since it is smaller than the sum of its proper divisors (1411567918445).

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

1372871516416 is an frugal number, since it uses more digits than its factorization.

1372871516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1162 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The spelling of 1372871516416 in words is "one trillion, three hundred seventy-two billion, eight hundred seventy-one million, five hundred sixteen thousand, four hundred sixteen".