1187814832128 has 1152 divisors, whose sum is σ = 4003408281600. Its totient is φ = 337217126400.

The previous prime is 1187814832093. The next prime is 1187814832177. The reversal of 1187814832128 is 8212384187811.

1187814832128 is a `hidden beast` number, since 1 + 1 + 87 + 81 + 483 + 2 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 16729786333 + ... + 16729786403.

It is an arithmetic number, because the mean of its divisors is an integer number (3475180800).

Almost surely, 2^{1187814832128} is an apocalyptic number.

1187814832128 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 1187814832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001704140800).

1187814832128 is an abundant number, since it is smaller than the sum of its proper divisors (2815593449472).

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

1187814832128 is a wasteful number, since it uses less digits than its factorization.

1187814832128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 54.

The spelling of 1187814832128 in words is "one trillion, one hundred eighty-seven billion, eight hundred fourteen million, eight hundred thirty-two thousand, one hundred twenty-eight".