46584248564 has 96 divisors (see below), whose sum is σ = 99911562240. Its totient is φ = 18561312000.

The previous prime is 46584248551. The next prime is 46584248587.

46584248564 is nontrivially palindromic in base 10.

46584248564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10013639 + ... + 10018289.

It is an arithmetic number, because the mean of its divisors is an integer number (1040745440).

Almost surely, 2^46584248564 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 46584248564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49955781120).

46584248564 is an abundant number, since it is smaller than the sum of its proper divisors (53327313676).

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

46584248564 is a wasteful number, since it uses less digits than its factorization.

46584248564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5027 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 56.

The spelling of 46584248564 in words is "forty-six billion, five hundred eighty-four million, two hundred forty-eight thousand, five hundred sixty-four".