48676144 has 40 divisors (see below), whose sum is σ = 103488912. Its totient is φ = 21995520.

The previous prime is 48676141. The next prime is 48676153. The reversal of 48676144 is 44167684.

It is a junction number, because it is equal to n+sod(n) for n = 48676097 and 48676106.

It is not an unprimeable number, because it can be changed into a prime (48676141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33252 + ... + 34684.

Almost surely, 2^48676144 is an apocalyptic number.

48676144 is a gapful number since it is divisible by the number (44) 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 48676144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744456).

48676144 is an abundant number, since it is smaller than the sum of its proper divisors (54812768).

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

48676144 is a wasteful number, since it uses less digits than its factorization.

48676144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1639 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 48676144 is about 6976.8290791734. The cubic root of 48676144 is about 365.1226059620.

It can be divided in two parts, 4867 and 6144, that added together give a palindrome (11011).

The spelling of 48676144 in words is "forty-eight million, six hundred seventy-six thousand, one hundred forty-four".