1379083830336 has 189 divisors, whose sum is σ = 3990325263301. Its totient is φ = 455382418944.

The previous prime is 1379083830323. The next prime is 1379083830353. The reversal of 1379083830336 is 6330383809731.

The square root of 1379083830336 is 1174344.

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., 1304803598400 + 74280231936 = 1142280^2 + 272544^2 .

It is a super-2 number, since 2×1379083830336² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4706770606 + ... + 4706770898.

Almost surely, 2^{1379083830336} is an apocalyptic number.

1379083830336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1379083830336 is the 1174344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379083830336

1379083830336 is an abundant number, since it is smaller than the sum of its proper divisors (2611241432965).

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

1379083830336 is an frugal number, since it uses more digits than its factorization.

1379083830336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 1379083830336 in words is "one trillion, three hundred seventy-nine billion, eighty-three million, eight hundred thirty thousand, three hundred thirty-six".