46618416 has 100 divisors (see below), whose sum is σ = 145358752. Its totient is φ = 14338944.

The previous prime is 46618393. The next prime is 46618423. The reversal of 46618416 is 61481664.

46618416 is a `hidden beast` number, since 466 + 184 + 16 = 666.

46618416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15465 + ... + 18231.

Almost surely, 2^46618416 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 46618416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72679376).

46618416 is an abundant number, since it is smaller than the sum of its proper divisors (98740336).

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

46618416 is a wasteful number, since it uses less digits than its factorization.

46618416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2785 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 46618416 is about 6827.7680101187. The cubic root of 46618416 is about 359.9033073649.

The spelling of 46618416 in words is "forty-six million, six hundred eighteen thousand, four hundred sixteen".