46768512 has 128 divisors (see below), whose sum is σ = 144138240. Its totient is φ = 13160448.

The previous prime is 46768433. The next prime is 46768529. The reversal of 46768512 is 21586764.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (80640) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341308 + ... + 341444.

It is an arithmetic number, because the mean of its divisors is an integer number (1126080).

Almost surely, 2^46768512 is an apocalyptic number.

46768512 is a gapful number since it is divisible by the number (42) 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 46768512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72069120).

46768512 is an abundant number, since it is smaller than the sum of its proper divisors (97369728).

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

46768512 is a wasteful number, since it uses less digits than its factorization.

46768512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 46768512 is about 6838.7507631146. The cubic root of 46768512 is about 360.2891504095.

The spelling of 46768512 in words is "forty-six million, seven hundred sixty-eight thousand, five hundred twelve".