1352066630656 has 297 divisors, whose sum is σ = 3274536745389. Its totient is φ = 556350283776.

The previous prime is 1352066630597. The next prime is 1352066630669. The reversal of 1352066630656 is 6560366602531.

The square root of 1352066630656 is 1162784.

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., 708990944256 + 643075686400 = 842016^2 + 801920^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 7553444775 + ... + 7553444953.

Almost surely, 2^{1352066630656} is an apocalyptic number.

1352066630656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1352066630656 is the 1162784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1352066630656

1352066630656 is an abundant number, since it is smaller than the sum of its proper divisors (1922470114733).

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

1352066630656 is an frugal number, since it uses more digits than its factorization.

1352066630656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

Multiplying 1352066630656 by its sum of digits (49), we get a square (66251264902144 = 8139488²).

1352066630656 divided by its sum of digits (49) gives a square (27593196544 = 166112²).

The spelling of 1352066630656 in words is "one trillion, three hundred fifty-two billion, sixty-six million, six hundred thirty thousand, six hundred fifty-six".