1133110221264 has 320 divisors, whose sum is σ = 3831697612800. Its totient is φ = 313892070912.

The previous prime is 1133110221263. The next prime is 1133110221317. The reversal of 1133110221264 is 4621220113311.

1133110221264 is a `hidden beast` number, since 11 + 331 + 102 + 212 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133110221263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15170442 + ... + 15244950.

It is an arithmetic number, because the mean of its divisors is an integer number (11974055040).

Almost surely, 2^{1133110221264} is an apocalyptic number.

1133110221264 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 1133110221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915848806400).

1133110221264 is an abundant number, since it is smaller than the sum of its proper divisors (2698587391536).

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

1133110221264 is a wasteful number, since it uses less digits than its factorization.

1133110221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74687 (or 74675 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1133110221264 its reverse (4621220113311), we get a palindrome (5754330334575).

The spelling of 1133110221264 in words is "one trillion, one hundred thirty-three billion, one hundred ten million, two hundred twenty-one thousand, two hundred sixty-four".