46613052288 has 512 divisors, whose sum is σ = 159257088000. Its totient is φ = 13287628800.

The previous prime is 46613052223. The next prime is 46613052289. The reversal of 46613052288 is 88225031664.

46613052288 is a `hidden beast` number, since 4 + 6 + 61 + 305 + 2 + 288 = 666.

46613052288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46613052289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43603818 + ... + 43604886.

It is an arithmetic number, because the mean of its divisors is an integer number (311049000).

Almost surely, 2^46613052288 is an apocalyptic number.

46613052288 is a gapful number since it is divisible by the number (48) 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 46613052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79628544000).

46613052288 is an abundant number, since it is smaller than the sum of its proper divisors (112644035712).

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

46613052288 is a wasteful number, since it uses less digits than its factorization.

46613052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46613052288 in words is "forty-six billion, six hundred thirteen million, fifty-two thousand, two hundred eighty-eight".