46830829752 has 384 divisors, whose sum is σ = 155075880960. Its totient is φ = 12962436480.

The previous prime is 46830829741. The next prime is 46830829753. The reversal of 46830829752 is 25792803864.

46830829752 is a `hidden beast` number, since 46 + 8 + 308 + 297 + 5 + 2 = 666.

46830829752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46830829753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95378227 + ... + 95378717.

It is an arithmetic number, because the mean of its divisors is an integer number (403843440).

Almost surely, 2^46830829752 is an apocalyptic number.

46830829752 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 46830829752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77537940480).

46830829752 is an abundant number, since it is smaller than the sum of its proper divisors (108245051208).

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

46830829752 is a wasteful number, since it uses less digits than its factorization.

46830829752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 46830829752 in words is "forty-six billion, eight hundred thirty million, eight hundred twenty-nine thousand, seven hundred fifty-two".