1309646782404 has 81 divisors (see below), whose sum is σ = 3429108828327. Its totient is φ = 421431429888.

The previous prime is 1309646782393. The next prime is 1309646782417. The reversal of 1309646782404 is 4042876469031.

The square root of 1309646782404 is 1144398.

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

1309646782404 is a `hidden beast` number, since 1 + 30 + 96 + 46 + 7 + 82 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 557874548100 + 751772234304 = 746910^2 + 867048^2 .

It is a super-2 number, since 2×1309646782404² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 199121964 + ... + 199128540.

Almost surely, 2^{1309646782404} is an apocalyptic number.

1309646782404 is the 1144398-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309646782404

1309646782404 is an abundant number, since it is smaller than the sum of its proper divisors (2119462045923).

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

1309646782404 is an frugal number, since it uses more digits than its factorization.

1309646782404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13222 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1309646782404 in words is "one trillion, three hundred nine billion, six hundred forty-six million, seven hundred eighty-two thousand, four hundred four".