1134621216 has 48 divisors (see below), whose sum is σ = 3309314400. Its totient is φ = 378206784.

The previous prime is 1134621209. The next prime is 1134621223. The reversal of 1134621216 is 6121264311.

It is a happy number.

1134621216 is a `hidden beast` number, since 1 + 1 + 34 + 621 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1134621209) and next prime (1134621223).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1134621216³ (a number of 28 digits) contains 333 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 1134621216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655746 + ... + 657473.

It is an arithmetic number, because the mean of its divisors is an integer number (68944050).

Almost surely, 2^1134621216 is an apocalyptic number.

1134621216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1134621216 is an abundant number, since it is smaller than the sum of its proper divisors (2174693184).

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

1134621216 is a wasteful number, since it uses less digits than its factorization.

1134621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313238 (or 1313224 counting only the distinct ones).

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

The square root of 1134621216 is about 33684.1389380818. The cubic root of 1134621216 is about 1042.9983787553.

Adding to 1134621216 its reverse (6121264311), we get a palindrome (7255885527).

The spelling of 1134621216 in words is "one billion, one hundred thirty-four million, six hundred twenty-one thousand, two hundred sixteen".