1383188768064 has 168 divisors, whose sum is σ = 4253277406560. Its totient is φ = 445164056064.

The previous prime is 1383188768063. The next prime is 1383188768081. The reversal of 1383188768064 is 4608678813831.

1383188768064 is a `hidden beast` number, since 1 + 383 + 188 + 76 + 8 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×1383188768064² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1383188767992 and 1383188768010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383188768063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082434 + ... + 1984449.

It is an arithmetic number, because the mean of its divisors is an integer number (25317127420).

Almost surely, 2^{1383188768064} is an apocalyptic number.

It is an amenable number.

1383188768064 is an abundant number, since it is smaller than the sum of its proper divisors (2870088638496).

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

1383188768064 is an equidigital number, since it uses as much as digits as its factorization.

1383188768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066939 (or 3066917 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1383188768064 in words is "one trillion, three hundred eighty-three billion, one hundred eighty-eight million, seven hundred sixty-eight thousand, sixty-four".