48909438144 has 224 divisors, whose sum is σ = 166357401600. Its totient is φ = 13973845248.

The previous prime is 48909438131. The next prime is 48909438157. The reversal of 48909438144 is 44183490984.

48909438144 is a `hidden beast` number, since 489 + 0 + 9 + 43 + 81 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (48909438131) and next prime (48909438157).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954817 + ... + 1004735.

Almost surely, 2^48909438144 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 48909438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83178700800).

48909438144 is an abundant number, since it is smaller than the sum of its proper divisors (117447963456).

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

48909438144 is an frugal number, since it uses more digits than its factorization.

48909438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49959 (or 49931 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 48909438144 in words is "forty-eight billion, nine hundred nine million, four hundred thirty-eight thousand, one hundred forty-four".