46539706752 has 384 divisors, whose sum is σ = 167610643200. Its totient is φ = 12041809920.

The previous prime is 46539706729. The next prime is 46539706771. The reversal of 46539706752 is 25760793564.

46539706752 is a `hidden beast` number, since 46 + 539 + 7 + 0 + 67 + 5 + 2 = 666.

46539706752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27231274 + ... + 27232982.

It is an arithmetic number, because the mean of its divisors is an integer number (436486050).

Almost surely, 2^46539706752 is an apocalyptic number.

46539706752 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 46539706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83805321600).

46539706752 is an abundant number, since it is smaller than the sum of its proper divisors (121070936448).

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

46539706752 is a wasteful number, since it uses less digits than its factorization.

46539706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 46539706752 in words is "forty-six billion, five hundred thirty-nine million, seven hundred six thousand, seven hundred fifty-two".