46626252288 has 240 divisors, whose sum is σ = 156043345920. Its totient is φ = 12110376960.

The previous prime is 46626252227. The next prime is 46626252293. The reversal of 46626252288 is 88225262664.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 46626252288.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1283073 + ... + 1318911.

It is an arithmetic number, because the mean of its divisors is an integer number (650180608).

Almost surely, 2^46626252288 is an apocalyptic number.

46626252288 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 46626252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78021672960).

46626252288 is an abundant number, since it is smaller than the sum of its proper divisors (109417093632).

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

46626252288 is a wasteful number, since it uses less digits than its factorization.

46626252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35889 (or 35862 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 46626252288 in words is "forty-six billion, six hundred twenty-six million, two hundred fifty-two thousand, two hundred eighty-eight".