46527464016 has 600 divisors, whose sum is σ = 162069126912. Its totient is φ = 12818995200.

The previous prime is 46527463981. The next prime is 46527464017. The reversal of 46527464016 is 61046472564.

46527464016 is a `hidden beast` number, since 46 + 527 + 46 + 40 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46527464017) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 82641751 + ... + 82642313.

Almost surely, 2^46527464016 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 46527464016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81034563456).

46527464016 is an abundant number, since it is smaller than the sum of its proper divisors (115541662896).

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

46527464016 is a wasteful number, since it uses less digits than its factorization.

46527464016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46527464016 in words is "forty-six billion, five hundred twenty-seven million, four hundred sixty-four thousand, sixteen".