46580438016 has 660 divisors, whose sum is σ = 165069515028. Its totient is φ = 13042778112.

The previous prime is 46580438011. The next prime is 46580438033. The reversal of 46580438016 is 61083408564.

It can be written as a sum of positive squares in 2 ways, for example, as 19914854400 + 26665583616 = 141120^2 + 163296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46580438011) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 296690610 + ... + 296690766.

Almost surely, 2^46580438016 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 46580438016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82534757514).

46580438016 is an abundant number, since it is smaller than the sum of its proper divisors (118489077012).

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

46580438016 is a wasteful number, since it uses less digits than its factorization.

46580438016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46580438016 in words is "forty-six billion, five hundred eighty million, four hundred thirty-eight thousand, sixteen".