1397133456016 has 45 divisors (see below), whose sum is σ = 2717069496379. Its totient is φ = 695963955200.

The previous prime is 1397133456011. The next prime is 1397133456073. The reversal of 1397133456016 is 6106543317931.

The square root of 1397133456016 is 1182004.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110088585616 + 1287044870400 = 331796^2 + 1134480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1397133456011) by changing a digit.

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, 2179615056 + ... + 2179615696.

Almost surely, 2^{1397133456016} is an apocalyptic number.

1397133456016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1397133456016 is the 1182004-th square number.

It is an amenable number.

1397133456016 is a deficient number, since it is larger than the sum of its proper divisors (1319936040363).

1397133456016 is an frugal number, since it uses more digits than its factorization.

1397133456016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

Multiplying 1397133456016 by its sum of digits (49), we get a square (68459539344784 = 8274028²).

The spelling of 1397133456016 in words is "one trillion, three hundred ninety-seven billion, one hundred thirty-three million, four hundred fifty-six thousand, sixteen".