1165456656 has 480 divisors, whose sum is σ = 4390830080. Its totient is φ = 279936000.

The previous prime is 1165456651. The next prime is 1165456703. The reversal of 1165456656 is 6566545611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165456651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7718181 + ... + 7718331.

Almost surely, 2^1165456656 is an apocalyptic number.

1165456656 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 1165456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195415040).

1165456656 is an abundant number, since it is smaller than the sum of its proper divisors (3225373424).

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

1165456656 is a wasteful number, since it uses less digits than its factorization.

1165456656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 226 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 1165456656 is about 34138.7852156459. The cubic root of 1165456656 is about 1052.3625278817.

It can be divided in two parts, 116545 and 6656, that added together give a square (123201 = 351²).

The spelling of 1165456656 in words is "one billion, one hundred sixty-five million, four hundred fifty-six thousand, six hundred fifty-six".