46536933888 has 280 divisors, whose sum is σ = 142857911196. Its totient is φ = 15128985600.

The previous prime is 46536933887. The next prime is 46536933889. The reversal of 46536933888 is 88833963564.

46536933888 is a `hidden beast` number, since 4 + 6 + 536 + 93 + 3 + 8 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46536933887) and next prime (46536933889).

It can be written as a sum of positive squares in 2 ways, for example, as 46469562624 + 67371264 = 215568^2 + 8208^2 .

It is not an unprimeable number, because it can be changed into a prime (46536933887) 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 27 ways as a sum of consecutive naturals, for example, 15301648 + ... + 15304688.

Almost surely, 2^46536933888 is an apocalyptic number.

46536933888 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 46536933888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71428955598).

46536933888 is an abundant number, since it is smaller than the sum of its proper divisors (96320977308).

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

46536933888 is an frugal number, since it uses more digits than its factorization.

46536933888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3087 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 46536933888 in words is "forty-six billion, five hundred thirty-six million, nine hundred thirty-three thousand, eight hundred eighty-eight".