46580016 has 80 divisors (see below), whose sum is σ = 138554624. Its totient is φ = 13208832.

The previous prime is 46579997. The next prime is 46580029. The reversal of 46580016 is 61008564.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52311 + ... + 53193.

Almost surely, 2^46580016 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 46580016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69277312).

46580016 is an abundant number, since it is smaller than the sum of its proper divisors (91974608).

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

46580016 is a wasteful number, since it uses less digits than its factorization.

46580016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 46580016 is about 6824.9553844696. The cubic root of 46580016 is about 359.8044617115.

The spelling of 46580016 in words is "forty-six million, five hundred eighty thousand, sixteen".