1183838968872 has 576 divisors, whose sum is σ = 3946067798400. Its totient is φ = 325912688640.

The previous prime is 1183838968789. The next prime is 1183838968903. The reversal of 1183838968872 is 2788698383811.

1183838968872 is a `hidden beast` number, since 1 + 18 + 383 + 8 + 96 + 88 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1183838968872.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1340700543 + ... + 1340701425.

It is an arithmetic number, because the mean of its divisors is an integer number (6850812150).

Almost surely, 2^{1183838968872} is an apocalyptic number.

1183838968872 is a gapful number since it is divisible by the number (12) 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 1183838968872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973033899200).

1183838968872 is an abundant number, since it is smaller than the sum of its proper divisors (2762228829528).

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

1183838968872 is an frugal number, since it uses more digits than its factorization.

1183838968872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1025 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 72.

The spelling of 1183838968872 in words is "one trillion, one hundred eighty-three billion, eight hundred thirty-eight million, nine hundred sixty-eight thousand, eight hundred seventy-two".