1164405312 has 168 divisors, whose sum is σ = 3828629376. Its totient is φ = 331444224.

The previous prime is 1164405301. The next prime is 1164405323. The reversal of 1164405312 is 2135044611.

It is a happy number.

1164405312 is a `hidden beast` number, since 1 + 1 + 644 + 0 + 5 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (1164405301) and next prime (1164405323).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1164405312² = 2711679461227634688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1963288 + ... + 1963880.

Almost surely, 2^1164405312 is an apocalyptic number.

1164405312 is a gapful number since it is divisible by the number (12) 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 1164405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914314688).

1164405312 is an abundant number, since it is smaller than the sum of its proper divisors (2664224064).

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

1164405312 is a wasteful number, since it uses less digits than its factorization.

1164405312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1164405312 is about 34123.3836540282. The cubic root of 1164405312 is about 1052.0459916184.

Adding to 1164405312 its reverse (2135044611), we get a palindrome (3299449923).

The spelling of 1164405312 in words is "one billion, one hundred sixty-four million, four hundred five thousand, three hundred twelve".