46712410752 has 128 divisors (see below), whose sum is σ = 141987427200. Its totient is φ = 13329285120.

The previous prime is 46712410733. The next prime is 46712410757. The reversal of 46712410752 is 25701421764.

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

It is a self number, because there is not a number n which added to its sum of digits gives 46712410752.

It is not an unprimeable number, because it can be changed into a prime (46712410757) 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 15 ways as a sum of consecutive naturals, for example, 2163852 + ... + 2185332.

It is an arithmetic number, because the mean of its divisors is an integer number (1109276775).

Almost surely, 2^46712410752 is an apocalyptic number.

46712410752 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 46712410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70993713600).

46712410752 is an abundant number, since it is smaller than the sum of its proper divisors (95275016448).

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

46712410752 is a wasteful number, since it uses less digits than its factorization.

46712410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314 (or 22302 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 46712410752 in words is "forty-six billion, seven hundred twelve million, four hundred ten thousand, seven hundred fifty-two".