1165726162944 has 2016 divisors, whose sum is σ = 4650030141120. Its totient is φ = 288947699712.

The previous prime is 1165726162943. The next prime is 1165726162949. The reversal of 1165726162944 is 4492616275611.

1165726162944 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 7 + 2 + 6 + 1 + 629 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

Its product of digits (4354560) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (1165726162943) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31506112494 + ... + 31506112530.

It is an arithmetic number, because the mean of its divisors is an integer number (2306562570).

Almost surely, 2^{1165726162944} is an apocalyptic number.

1165726162944 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 1165726162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325015070560).

1165726162944 is an abundant number, since it is smaller than the sum of its proper divisors (3484303978176).

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

1165726162944 is an equidigital number, since it uses as much as digits as its factorization.

1165726162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 85 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 1165726162944 in words is "one trillion, one hundred sixty-five billion, seven hundred twenty-six million, one hundred sixty-two thousand, nine hundred forty-four".