1383277803264 has 1008 divisors, whose sum is σ = 4883546384640. Its totient is φ = 382743429120.

The previous prime is 1383277803263. The next prime is 1383277803307. The reversal of 1383277803264 is 4623087723831.

1383277803264 is a `hidden beast` number, since 1 + 38 + 3 + 277 + 80 + 3 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×1383277803264³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1383277803264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1383277803263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10096918204 + ... + 10096918340.

It is an arithmetic number, because the mean of its divisors is an integer number (4844788080).

Almost surely, 2^{1383277803264} is an apocalyptic number.

1383277803264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383277803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441773192320).

1383277803264 is an abundant number, since it is smaller than the sum of its proper divisors (3500268581376).

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

1383277803264 is an equidigital number, since it uses as much as digits as its factorization.

1383277803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1383277803264 in words is "one trillion, three hundred eighty-three billion, two hundred seventy-seven million, eight hundred three thousand, two hundred sixty-four".