46112768 has 56 divisors (see below), whose sum is σ = 99543108. Its totient is φ = 21233664.

The previous prime is 46112761. The next prime is 46112771. The reversal of 46112768 is 86721164.

It can be written as a sum of positive squares in 2 ways, for example, as 38539264 + 7573504 = 6208^2 + 2752^2 .

Its product of digits (16128) is a multiple of the sum of its prime divisors (448).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (46112761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106280 + ... + 106712.

Almost surely, 2^46112768 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 46112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49771554).

46112768 is an abundant number, since it is smaller than the sum of its proper divisors (53430340).

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

46112768 is an equidigital number, since it uses as much as digits as its factorization.

46112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 46112768 is about 6790.6382616069. The cubic root of 46112768 is about 358.5973403012.

The spelling of 46112768 in words is "forty-six million, one hundred twelve thousand, seven hundred sixty-eight".