1339824770064 has 675 divisors, whose sum is σ = 4436889296301. Its totient is φ = 390033895680.

The previous prime is 1339824769961. The next prime is 1339824770071. The reversal of 1339824770064 is 4600774289331.

The square root of 1339824770064 is 1157508.

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

1339824770064 is a `hidden beast` number, since 1 + 3 + 39 + 82 + 477 + 0 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1198893603600 + 140931166464 = 1094940^2 + 375408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16959807177 + ... + 16959807255.

Almost surely, 2^{1339824770064} is an apocalyptic number.

1339824770064 is the 1157508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339824770064

1339824770064 is an abundant number, since it is smaller than the sum of its proper divisors (3097064526237).

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

1339824770064 is an equidigital number, since it uses as much as digits as its factorization.

1339824770064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 1339824770064 in words is "one trillion, three hundred thirty-nine billion, eight hundred twenty-four million, seven hundred seventy thousand, sixty-four".