1133201664 has 360 divisors, whose sum is σ = 3984884288. Its totient is φ = 313528320.

The previous prime is 1133201653. The next prime is 1133201669. The reversal of 1133201664 is 4661023311.

It is a super-2 number, since 2×1133201664² = 2568292022584737792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1133201669) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5370519 + ... + 5370729.

Almost surely, 2^1133201664 is an apocalyptic number.

1133201664 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 1133201664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992442144).

1133201664 is an abundant number, since it is smaller than the sum of its proper divisors (2851682624).

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

1133201664 is an equidigital number, since it uses as much as digits as its factorization.

1133201664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1133201664 is about 33663.0608234011. The cubic root of 1133201664 is about 1042.5632237419.

Adding to 1133201664 its reverse (4661023311), we get a palindrome (5794224975).

The spelling of 1133201664 in words is "one billion, one hundred thirty-three million, two hundred one thousand, six hundred sixty-four".