1065692228832 has 864 divisors, whose sum is σ = 4005446215680. Its totient is φ = 262720972800.

The previous prime is 1065692228819. The next prime is 1065692228837. The reversal of 1065692228832 is 2388222965601.

1065692228832 is a `hidden beast` number, since 1 + 0 + 6 + 569 + 22 + 28 + 8 + 32 = 666.

It is a super-2 number, since 2×1065692228832² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065692228837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400785519 + ... + 400788177.

It is an arithmetic number, because the mean of its divisors is an integer number (4635933120).

Almost surely, 2^{1065692228832} is an apocalyptic number.

1065692228832 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 1065692228832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002723107840).

1065692228832 is an abundant number, since it is smaller than the sum of its proper divisors (2939753986848).

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

1065692228832 is a wasteful number, since it uses less digits than its factorization.

1065692228832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1065692228832 in words is "one trillion, sixty-five billion, six hundred ninety-two million, two hundred twenty-eight thousand, eight hundred thirty-two".