46233633264 has 480 divisors, whose sum is σ = 161584657920. Its totient is φ = 11256182784.

The previous prime is 46233633247. The next prime is 46233633269.

46233633264 is nontrivially palindromic in base 10.

46233633264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46233633269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20393059 + ... + 20395325.

It is an arithmetic number, because the mean of its divisors is an integer number (336634704).

Almost surely, 2^46233633264 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 46233633264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80792328960).

46233633264 is an abundant number, since it is smaller than the sum of its proper divisors (115351024656).

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

46233633264 is a wasteful number, since it uses less digits than its factorization.

46233633264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2344 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 46233633264 in words is "forty-six billion, two hundred thirty-three million, six hundred thirty-three thousand, two hundred sixty-four".