1383201801216 has 99 divisors (see below), whose sum is σ = 3994291221583. Its totient is φ = 461029632000.

The previous prime is 1383201801197. The next prime is 1383201801221. The reversal of 1383201801216 is 6121081023831.

The square root of 1383201801216 is 1176096.

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

1383201801216 is a `hidden beast` number, since 1 + 38 + 320 + 180 + 121 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112899091 + ... + 112911341.

Almost surely, 2^{1383201801216} is an apocalyptic number.

1383201801216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1383201801216 is the 1176096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383201801216

1383201801216 is an abundant number, since it is smaller than the sum of its proper divisors (2611089420367).

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

1383201801216 is an frugal number, since it uses more digits than its factorization.

1383201801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24528 (or 12256 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 1383201801216 by its sum of digits (36), we get a square (49795264843776 = 7056576²).

1383201801216 divided by its sum of digits (36) gives a square (38422272256 = 196016²).

The spelling of 1383201801216 in words is "one trillion, three hundred eighty-three billion, two hundred one million, eight hundred one thousand, two hundred sixteen".