48164544 has 168 divisors, whose sum is σ = 151627840. Its totient is φ = 15116544.

The previous prime is 48164539. The next prime is 48164549. The reversal of 48164544 is 44546184.

It is a happy number.

48164544 is a `hidden beast` number, since 4 + 8 + 1 + 645 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (48164539) and next prime (48164549).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48164499 and 48164508.

It is not an unprimeable number, because it can be changed into a prime (48164549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295407 + ... + 295569.

Almost surely, 2^48164544 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 48164544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75813920).

48164544 is an abundant number, since it is smaller than the sum of its proper divisors (103463296).

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

48164544 is a wasteful number, since it uses less digits than its factorization.

48164544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48164544 is about 6940.0680111941. The cubic root of 48164544 is about 363.8389175760.

It can be divided in two parts, 481 and 64544, that added together give a square (65025 = 255²).

The spelling of 48164544 in words is "forty-eight million, one hundred sixty-four thousand, five hundred forty-four".