48153168 has 240 divisors, whose sum is σ = 168370176. Its totient is φ = 12545280.

The previous prime is 48153167. The next prime is 48153187. The reversal of 48153168 is 86135184.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48153167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718671 + ... + 718737.

Almost surely, 2^48153168 is an apocalyptic number.

48153168 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 48153168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84185088).

48153168 is an abundant number, since it is smaller than the sum of its proper divisors (120217008).

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

48153168 is a wasteful number, since it uses less digits than its factorization.

48153168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 48153168 is about 6939.2483742838. The cubic root of 48153168 is about 363.8102702413.

The spelling of 48153168 in words is "forty-eight million, one hundred fifty-three thousand, one hundred sixty-eight".