1152188268048 has 120 divisors (see below), whose sum is σ = 3395458123200. Its totient is φ = 363718225152.

The previous prime is 1152188267977. The next prime is 1152188268053. The reversal of 1152188268048 is 8408628812511.

1152188268048 is a `hidden beast` number, since 11 + 521 + 8 + 8 + 2 + 68 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1152188267985 and 1152188268003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7687813 + ... + 7836251.

It is an arithmetic number, because the mean of its divisors is an integer number (28295484360).

Almost surely, 2^{1152188268048} is an apocalyptic number.

1152188268048 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 1152188268048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697729061600).

1152188268048 is an abundant number, since it is smaller than the sum of its proper divisors (2243269855152).

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

1152188268048 is a wasteful number, since it uses less digits than its factorization.

1152188268048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151309 (or 151300 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 1152188268048 in words is "one trillion, one hundred fifty-two billion, one hundred eighty-eight million, two hundred sixty-eight thousand, forty-eight".