1065681733248 has 448 divisors, whose sum is σ = 3493828537920. Its totient is φ = 320948490240.

The previous prime is 1065681733241. The next prime is 1065681733321. The reversal of 1065681733248 is 8423371865601.

1065681733248 is a `hidden beast` number, since 1 + 0 + 6 + 568 + 1 + 7 + 3 + 32 + 48 = 666.

It is a super-2 number, since 2×1065681733248² (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 a junction number, because it is equal to n+sod(n) for n = 1065681733194 and 1065681733203.

It is not an unprimeable number, because it can be changed into a prime (1065681733241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 171411036 + ... + 171417252.

It is an arithmetic number, because the mean of its divisors is an integer number (7798724415).

Almost surely, 2^{1065681733248} is an apocalyptic number.

1065681733248 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 1065681733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746914268960).

1065681733248 is an abundant number, since it is smaller than the sum of its proper divisors (2428146804672).

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

1065681733248 is an equidigital number, since it uses as much as digits as its factorization.

1065681733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6427 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1065681733248 in words is "one trillion, sixty-five billion, six hundred eighty-one million, seven hundred thirty-three thousand, two hundred forty-eight".