1164016512 has 48 divisors (see below), whose sum is σ = 3349582080. Its totient is φ = 388005120.

The previous prime is 1164016481. The next prime is 1164016517. The reversal of 1164016512 is 2156104611.

1164016512 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 1 + 651 + 2 = 666.

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

It is a super-2 number, since 2×1164016512² = 2709868880417292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164016517) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 504064 + ... + 506367.

It is an arithmetic number, because the mean of its divisors is an integer number (69782960).

Almost surely, 2^1164016512 is an apocalyptic number.

1164016512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1164016512 is an abundant number, since it is smaller than the sum of its proper divisors (2185565568).

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

1164016512 is a wasteful number, since it uses less digits than its factorization.

1164016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010451 (or 1010436 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1164016512 is about 34117.6862052514. The cubic root of 1164016512 is about 1051.9288843386.

The spelling of 1164016512 in words is "one billion, one hundred sixty-four million, sixteen thousand, five hundred twelve".