48437238144 has 128 divisors (see below), whose sum is σ = 130170343680. Its totient is φ = 15957043200.

The previous prime is 48437238133. The next prime is 48437238167. The reversal of 48437238144 is 44183273484.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 48437238093 and 48437238102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27725079 + ... + 27726825.

It is an arithmetic number, because the mean of its divisors is an integer number (1016955810).

Almost surely, 2^48437238144 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 48437238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65085171840).

48437238144 is an abundant number, since it is smaller than the sum of its proper divisors (81733105536).

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

48437238144 is a wasteful number, since it uses less digits than its factorization.

48437238144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2556 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The spelling of 48437238144 in words is "forty-eight billion, four hundred thirty-seven million, two hundred thirty-eight thousand, one hundred forty-four".