1334116656 has 140 divisors (see below), whose sum is σ = 4044817008. Its totient is φ = 425284992.

The previous prime is 1334116643. The next prime is 1334116657. The reversal of 1334116656 is 6566114331.

1334116656 is a `hidden beast` number, since 133 + 411 + 66 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1334116656.

It is not an unprimeable number, because it can be changed into a prime (1334116657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 265786 + ... + 270758.

Almost surely, 2^1334116656 is an apocalyptic number.

1334116656 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 1334116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022408504).

1334116656 is an abundant number, since it is smaller than the sum of its proper divisors (2710700352).

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

1334116656 is an equidigital number, since it uses as much as digits as its factorization.

1334116656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5001 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 1334116656 is about 36525.5616794595. The cubic root of 1334116656 is about 1100.8579136409.

The spelling of 1334116656 in words is "one billion, three hundred thirty-four million, one hundred sixteen thousand, six hundred fifty-six".