48357875384 has 192 divisors, whose sum is σ = 123430809600. Its totient is φ = 17537990400.

The previous prime is 48357875381. The next prime is 48357875389.

48357875384 is nontrivially palindromic in base 10.

48357875384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48357875384² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48357875381) 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, 2993489 + ... + 3009599.

It is an arithmetic number, because the mean of its divisors is an integer number (642868800).

Almost surely, 2^48357875384 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 48357875384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61715404800).

48357875384 is an abundant number, since it is smaller than the sum of its proper divisors (75072934216).

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

48357875384 is a wasteful number, since it uses less digits than its factorization.

48357875384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16194 (or 16183 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 62.

The spelling of 48357875384 in words is "forty-eight billion, three hundred fifty-seven million, eight hundred seventy-five thousand, three hundred eighty-four".