1164543464448 has 1848 divisors, whose sum is σ = 4570680468480. Its totient is φ = 293462507520.

The previous prime is 1164543464437. The next prime is 1164543464449. The reversal of 1164543464448 is 8444643454611.

1164543464448 is a `hidden beast` number, since 1 + 1 + 64 + 54 + 34 + 64 + 448 = 666.

It is a super-2 number, since 2×1164543464448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (17694720) is a multiple of the sum of its prime divisors (135).

It is a junction number, because it is equal to n+sod(n) for n = 1164543464394 and 1164543464403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164543464449) 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 167 ways as a sum of consecutive naturals, for example, 14741056473 + ... + 14741056551.

Almost surely, 2^{1164543464448} is an apocalyptic number.

1164543464448 is a gapful number since it is divisible by the number (18) 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 1164543464448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285340234240).

1164543464448 is an abundant number, since it is smaller than the sum of its proper divisors (3406137004032).

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

1164543464448 is an equidigital number, since it uses as much as digits as its factorization.

1164543464448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 54.

The spelling of 1164543464448 in words is "one trillion, one hundred sixty-four billion, five hundred forty-three million, four hundred sixty-four thousand, four hundred forty-eight".