1152113431152 has 160 divisors (see below), whose sum is σ = 3236364288000. Its totient is φ = 351831893760.

The previous prime is 1152113431127. The next prime is 1152113431159. The reversal of 1152113431152 is 2511343112511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152113431159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40669249 + ... + 40697567.

It is an arithmetic number, because the mean of its divisors is an integer number (20227276800).

Almost surely, 2^{1152113431152} is an apocalyptic number.

1152113431152 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 1152113431152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618182144000).

1152113431152 is an abundant number, since it is smaller than the sum of its proper divisors (2084250856848).

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

1152113431152 is a wasteful number, since it uses less digits than its factorization.

1152113431152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29819 (or 29813 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

Adding to 1152113431152 its reverse (2511343112511), we get a palindrome (3663456543663).

The spelling of 1152113431152 in words is "one trillion, one hundred fifty-two billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred fifty-two".