1188861657984 has 1152 divisors, whose sum is σ = 4827186524160. Its totient is φ = 275788800000.

The previous prime is 1188861657979. The next prime is 1188861658073. The reversal of 1188861657984 is 4897561688811.

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

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

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 143 ways as a sum of consecutive naturals, for example, 250231609 + ... + 250236359.

It is an arithmetic number, because the mean of its divisors is an integer number (4190266080).

Almost surely, 2^{1188861657984} is an apocalyptic number.

1188861657984 is a gapful number since it is divisible by the number (14) 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 1188861657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413593262080).

1188861657984 is an abundant number, since it is smaller than the sum of its proper divisors (3638324866176).

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

1188861657984 is a wasteful number, since it uses less digits than its factorization.

1188861657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840 (or 4818 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 72.

The spelling of 1188861657984 in words is "one trillion, one hundred eighty-eight billion, eight hundred sixty-one million, six hundred fifty-seven thousand, nine hundred eighty-four".