1164745708224 has 336 divisors, whose sum is σ = 3787722777600. Its totient is φ = 314084542464.

The previous prime is 1164745708211. The next prime is 1164745708237. The reversal of 1164745708224 is 4228075474611.

It is an interprime number because it is at equal distance from previous prime (1164745708211) and next prime (1164745708237).

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 48072177 + ... + 48096399.

Almost surely, 2^{1164745708224} is an apocalyptic number.

1164745708224 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 1164745708224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893861388800).

1164745708224 is an abundant number, since it is smaller than the sum of its proper divisors (2622977069376).

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

1164745708224 is a wasteful number, since it uses less digits than its factorization.

1164745708224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24540 (or 24523 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 1164745708224 in words is "one trillion, one hundred sixty-four billion, seven hundred forty-five million, seven hundred eight thousand, two hundred twenty-four".