48118562267328 has 560 divisors, whose sum is σ = 172796874624000. Its totient is φ = 12925028818944.

The previous prime is 48118562267327. The next prime is 48118562267381. The reversal of 48118562267328 is 82376226581184.

48118562267328 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 8 + 562 + 2 + 67 + 3 + 2 + 8 = 666.

48118562267328 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 2×48118562267328² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48118562267327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 559481673 + ... + 559567671.

Almost surely, 2^{48118562267328} is an apocalyptic number.

48118562267328 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 48118562267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86398437312000).

48118562267328 is an abundant number, since it is smaller than the sum of its proper divisors (124678312356672).

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

48118562267328 is a wasteful number, since it uses less digits than its factorization.

48118562267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86954 (or 86935 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 48118562267328 in words is "forty-eight trillion, one hundred eighteen billion, five hundred sixty-two million, two hundred sixty-seven thousand, three hundred twenty-eight".