1383164166400 has 243 divisors, whose sum is σ = 3495093434469. Its totient is φ = 541937664000.

The previous prime is 1383164166383. The next prime is 1383164166421. The reversal of 1383164166400 is 46614613831.

The square root of 1383164166400 is 1176080.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1259530354944 + 123633811456 = 1122288^2 + 351616^2 .

It is a super-2 number, since 2×1383164166400² (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, 5739270280 + ... + 5739270520.

Almost surely, 2^{1383164166400} is an apocalyptic number.

1383164166400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1383164166400 is the 1176080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383164166400

1383164166400 is an abundant number, since it is smaller than the sum of its proper divisors (2111929268069).

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

1383164166400 is an frugal number, since it uses more digits than its factorization.

1383164166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 1383164166400 in words is "one trillion, three hundred eighty-three billion, one hundred sixty-four million, one hundred sixty-six thousand, four hundred".