1186368768 has 288 divisors, whose sum is σ = 3848279680. Its totient is φ = 362797056.

The previous prime is 1186368761. The next prime is 1186368769. The reversal of 1186368768 is 8678636811.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186368761) 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, 7278255 + ... + 7278417.

Almost surely, 2^1186368768 is an apocalyptic number.

1186368768 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 1186368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924139840).

1186368768 is an abundant number, since it is smaller than the sum of its proper divisors (2661910912).

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

1186368768 is an frugal number, since it uses more digits than its factorization.

1186368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1186368768 is about 34443.7043303998. The cubic root of 1186368768 is about 1058.6195296398.

The spelling of 1186368768 in words is "one billion, one hundred eighty-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".