46218816 has 112 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 13201920.

The previous prime is 46218797. The next prime is 46218817. The reversal of 46218816 is 61881264.

46218816 is a `hidden beast` number, since 462 + 188 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

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 not an unprimeable number, because it can be changed into a prime (46218817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10186 + ... + 14006.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^46218816 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 46218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

46218816 is an abundant number, since it is smaller than the sum of its proper divisors (109107264).

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

46218816 is a wasteful number, since it uses less digits than its factorization.

46218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3833 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 46218816 is about 6798.4421744985. The cubic root of 46218816 is about 358.8720250035.

The spelling of 46218816 in words is "forty-six million, two hundred eighteen thousand, eight hundred sixteen".