44966016 has 80 divisors (see below), whose sum is σ = 133848990. Its totient is φ = 14985216.

The previous prime is 44965993. The next prime is 44966023. The reversal of 44966016 is 61066944.

44966016 is a `hidden beast` number, since 4 + 49 + 6 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 129600 = 6696^2 + 360^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8200 + ... + 12536.

Almost surely, 2^44966016 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 44966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66924495).

44966016 is an abundant number, since it is smaller than the sum of its proper divisors (88882974).

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

44966016 is an equidigital number, since it uses as much as digits as its factorization.

44966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 44966016 is about 6705.6704362800. The cubic root of 44966016 is about 355.5997690388.

The spelling of 44966016 in words is "forty-four million, nine hundred sixty-six thousand, sixteen".