48443324162688 has 1536 divisors, whose sum is σ = 181804160778240. Its totient is φ = 12040992423936.

The previous prime is 48443324162627. The next prime is 48443324162729. The reversal of 48443324162688 is 88626142334484.

48443324162688 is a `hidden beast` number, since 4 + 8 + 4 + 43 + 324 + 1 + 6 + 268 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21182038281 + ... + 21182040567.

It is an arithmetic number, because the mean of its divisors is an integer number (118362083840).

Almost surely, 2^{48443324162688} is an apocalyptic number.

48443324162688 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 48443324162688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90902080389120).

48443324162688 is an abundant number, since it is smaller than the sum of its proper divisors (133360836615552).

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

48443324162688 is a wasteful number, since it uses less digits than its factorization.

48443324162688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2519 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 63.

The spelling of 48443324162688 in words is "forty-eight trillion, four hundred forty-three billion, three hundred twenty-four million, one hundred sixty-two thousand, six hundred eighty-eight".