48881664 has 224 divisors, whose sum is σ = 165140640. Its totient is φ = 14155776.

The previous prime is 48881663. The next prime is 48881671. The reversal of 48881664 is 46618884.

48881664 is a `hidden beast` number, since 488 + 8 + 166 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48881663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2875384 + ... + 2875400.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 2^48881664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48881664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82570320).

48881664 is an abundant number, since it is smaller than the sum of its proper divisors (116258976).

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

48881664 is a wasteful number, since it uses less digits than its factorization.

48881664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 35 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48881664 is about 6991.5423191167. The cubic root of 48881664 is about 365.6357569485.

The spelling of 48881664 in words is "forty-eight million, eight hundred eighty-one thousand, six hundred sixty-four".