1065723789312 has 1536 divisors, whose sum is σ = 4150284364800. Its totient is φ = 267544166400.

The previous prime is 1065723789293. The next prime is 1065723789313. The reversal of 1065723789312 is 2139873275601.

1065723789312 is a `hidden beast` number, since 1 + 0 + 6 + 572 + 37 + 8 + 9 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1065723789312² (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).

It is not an unprimeable number, because it can be changed into a prime (1065723789313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17470881762 + ... + 17470881822.

It is an arithmetic number, because the mean of its divisors is an integer number (2702008050).

Almost surely, 2^{1065723789312} is an apocalyptic number.

1065723789312 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 1065723789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075142182400).

1065723789312 is an abundant number, since it is smaller than the sum of its proper divisors (3084560575488).

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

1065723789312 is an equidigital number, since it uses as much as digits as its factorization.

1065723789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1065723789312 in words is "one trillion, sixty-five billion, seven hundred twenty-three million, seven hundred eighty-nine thousand, three hundred twelve".