1145872656 has 100 divisors (see below), whose sum is σ = 3324181212. Its totient is φ = 381072384.

The previous prime is 1145872639. The next prime is 1145872661. The reversal of 1145872656 is 6562785411.

1145872656 is a `hidden beast` number, since 1 + 1 + 4 + 587 + 2 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 428490000 + 717382656 = 20700^2 + 26784^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 798916 + ... + 800348.

Almost surely, 2^1145872656 is an apocalyptic number.

1145872656 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 1145872656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662090606).

1145872656 is an abundant number, since it is smaller than the sum of its proper divisors (2178308556).

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

1145872656 is a wasteful number, since it uses less digits than its factorization.

1145872656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2055 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1145872656 is about 33850.7408486136. The cubic root of 1145872656 is about 1046.4346665983.

The spelling of 1145872656 in words is "one billion, one hundred forty-five million, eight hundred seventy-two thousand, six hundred fifty-six".