1133172238968 has 1280 divisors, whose sum is σ = 4335648768000. Its totient is φ = 267761894400.

The previous prime is 1133172238967. The next prime is 1133172239041. The reversal of 1133172238968 is 8698322713311.

1133172238968 is a `hidden beast` number, since 1 + 1 + 3 + 317 + 2 + 238 + 96 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133172238967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2629169713 + ... + 2629170143.

It is an arithmetic number, because the mean of its divisors is an integer number (3387225600).

Almost surely, 2^{1133172238968} is an apocalyptic number.

1133172238968 is a gapful number since it is divisible by the number (18) 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 1133172238968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167824384000).

1133172238968 is an abundant number, since it is smaller than the sum of its proper divisors (3202476529032).

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

1133172238968 is a wasteful number, since it uses less digits than its factorization.

1133172238968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 1133172238968 in words is "one trillion, one hundred thirty-three billion, one hundred seventy-two million, two hundred thirty-eight thousand, nine hundred sixty-eight".