1188661248 has 72 divisors (see below), whose sum is σ = 3433125150. Its totient is φ = 396214272.

The previous prime is 1188661247. The next prime is 1188661277. The reversal of 1188661248 is 8421668811.

It can be written as a sum of positive squares in only one way, i.e., 961496064 + 227165184 = 31008^2 + 15072^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1188661247) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13813 + ... + 50676.

Almost surely, 2^1188661248 is an apocalyptic number.

1188661248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1188661248 is an abundant number, since it is smaller than the sum of its proper divisors (2244463902).

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

1188661248 is an equidigital number, since it uses as much as digits as its factorization.

1188661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64517 (or 64494 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1188661248 is about 34476.9669199598. The cubic root of 1188661248 is about 1059.3009654791.

The spelling of 1188661248 in words is "one billion, one hundred eighty-eight million, six hundred sixty-one thousand, two hundred forty-eight".