1116306405 has 48 divisors (see below), whose sum is σ = 2004019056. Its totient is φ = 574479360.

The previous prime is 1116306383. The next prime is 1116306407. The reversal of 1116306405 is 5046036111.

1116306405 is a `hidden beast` number, since 1 + 1 + 16 + 3 + 0 + 640 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40335201 + 1075971204 = 6351^2 + 32802^2 .

It is not a de Polignac number, because 1116306405 - 2⁶ = 1116306341 is a prime.

It is a super-2 number, since 2×1116306405² = 2492279979688048050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116306407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141649 + ... + 149321.

It is an arithmetic number, because the mean of its divisors is an integer number (41750397).

Almost surely, 2^1116306405 is an apocalyptic number.

1116306405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1116306405 is a deficient number, since it is larger than the sum of its proper divisors (887712651).

1116306405 is a wasteful number, since it uses less digits than its factorization.

1116306405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7798 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1116306405 is about 33411.1718591252. The cubic root of 1116306405 is about 1037.3559577450.

The spelling of 1116306405 in words is "one billion, one hundred sixteen million, three hundred six thousand, four hundred five".