48654144 has 168 divisors, whose sum is σ = 174028608. Its totient is φ = 12625920.

The previous prime is 48654139. The next prime is 48654157. The reversal of 48654144 is 44145684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 48654099 and 48654108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43804 + ... + 44900.

Almost surely, 2^48654144 is an apocalyptic number.

48654144 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 48654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87014304).

48654144 is an abundant number, since it is smaller than the sum of its proper divisors (125374464).

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

48654144 is a wasteful number, since it uses less digits than its factorization.

48654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

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

The square root of 48654144 is about 6975.2522535031. The cubic root of 48654144 is about 365.0675899100.

Adding to 48654144 its sum of digits (36), we get a triangular number (48654180 = T₉₈₆₄).

It can be divided in two parts, 4865 and 4144, that added together give a palindrome (9009).

The spelling of 48654144 in words is "forty-eight million, six hundred fifty-four thousand, one hundred forty-four".