1065188142656 has 112 divisors (see below), whose sum is σ = 2429459972160. Its totient is φ = 458276382720.

The previous prime is 1065188142649. The next prime is 1065188142691. The reversal of 1065188142656 is 6562418815601.

It is a super-2 number, since 2×1065188142656² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1065188142598 and 1065188142607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14905346 + ... + 14976638.

Almost surely, 2^{1065188142656} is an apocalyptic number.

1065188142656 is a gapful number since it is divisible by the number (16) 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 1065188142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214729986080).

1065188142656 is an abundant number, since it is smaller than the sum of its proper divisors (1364271829504).

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

1065188142656 is a wasteful number, since it uses less digits than its factorization.

1065188142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72452 (or 72442 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 53.

The spelling of 1065188142656 in words is "one trillion, sixty-five billion, one hundred eighty-eight million, one hundred forty-two thousand, six hundred fifty-six".