46242824264 has 128 divisors (see below), whose sum is σ = 113915289600. Its totient is φ = 17086567680.

The previous prime is 46242824237. The next prime is 46242824333.

46242824264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46242824264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958529 + ... + 1005615.

It is an arithmetic number, because the mean of its divisors is an integer number (889963200).

Almost surely, 2^46242824264 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 46242824264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56957644800).

46242824264 is an abundant number, since it is smaller than the sum of its proper divisors (67672465336).

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

46242824264 is a wasteful number, since it uses less digits than its factorization.

46242824264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47203 (or 47199 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 44.

The spelling of 46242824264 in words is "forty-six billion, two hundred forty-two million, eight hundred twenty-four thousand, two hundred sixty-four".