1165971456 has 208 divisors, whose sum is σ = 3724611520. Its totient is φ = 358318080.

The previous prime is 1165971451. The next prime is 1165971487. The reversal of 1165971456 is 6541795611.

1165971456 is a `hidden beast` number, since 1 + 1 + 6 + 597 + 1 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1165971451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437291 + ... + 1438101.

Almost surely, 2^1165971456 is an apocalyptic number.

1165971456 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 1165971456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862305760).

1165971456 is an abundant number, since it is smaller than the sum of its proper divisors (2558640064).

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

1165971456 is an equidigital number, since it uses as much as digits as its factorization.

1165971456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 829 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 1165971456 is about 34146.3241945601. The cubic root of 1165971456 is about 1052.5174532719.

The spelling of 1165971456 in words is "one billion, one hundred sixty-five million, nine hundred seventy-one thousand, four hundred fifty-six".