46112616 has 144 divisors (see below), whose sum is σ = 141086400. Its totient is φ = 13590720.

The previous prime is 46112611. The next prime is 46112617. The reversal of 46112616 is 61621164.

46112616 is a `hidden beast` number, since 46 + 1 + 1 + 2 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46112616.

It is not an unprimeable number, because it can be changed into a prime (46112611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 583665 + ... + 583743.

Almost surely, 2^46112616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46112616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543200).

46112616 is an abundant number, since it is smaller than the sum of its proper divisors (94973784).

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

46112616 is a wasteful number, since it uses less digits than its factorization.

46112616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 46112616 is about 6790.6270697190. The cubic root of 46112616 is about 358.5969462899.

It can be divided in two parts, 4611 and 2616, that added together give a palindrome (7227).

The spelling of 46112616 in words is "forty-six million, one hundred twelve thousand, six hundred sixteen".