1382392765504 has 189 divisors, whose sum is σ = 2905912645237. Its totient is φ = 652476517888.

The previous prime is 1382392765469. The next prime is 1382392765529. The reversal of 1382392765504 is 4055672932831.

The square root of 1382392765504 is 1175752.

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., 996562958400 + 385829807104 = 998280^2 + 621152^2 .

It is a super-2 number, since 2×1382392765504² (a number of 25 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 23430385827 + ... + 23430385885.

It is a 1-persistent number, because it is pandigital, but 2⋅1382392765504 = 2764785531008 is not.

Almost surely, 2^{1382392765504} is an apocalyptic number.

1382392765504 is the 1175752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382392765504

1382392765504 is an abundant number, since it is smaller than the sum of its proper divisors (1523519879733).

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

1382392765504 is an frugal number, since it uses more digits than its factorization.

1382392765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 1382392765504 in words is "one trillion, three hundred eighty-two billion, three hundred ninety-two million, seven hundred sixty-five thousand, five hundred four".