46233579168 has 1200 divisors, whose sum is σ = 184481478720. Its totient is φ = 11266117632.

The previous prime is 46233579167. The next prime is 46233579181. The reversal of 46233579168 is 86197533264.

46233579168 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 3 + 579 + 1 + 68 = 666.

46233579168 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 (54).

It is not an unprimeable number, because it can be changed into a prime (46233579167) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2010155605 + ... + 2010155627.

Almost surely, 2^46233579168 is an apocalyptic number.

46233579168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46233579168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92240739360).

46233579168 is an abundant number, since it is smaller than the sum of its proper divisors (138247899552).

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

46233579168 is a wasteful number, since it uses less digits than its factorization.

46233579168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 46233579168 in words is "forty-six billion, two hundred thirty-three million, five hundred seventy-nine thousand, one hundred sixty-eight".