48778194567168 has 2160 divisors, whose sum is σ = 176234221537920. Its totient is φ = 13329432576000.

The previous prime is 48778194567161. The next prime is 48778194567283. The reversal of 48778194567168 is 86176549187784.

48778194567168 is a `hidden beast` number, since 4 + 8 + 77 + 81 + 9 + 456 + 7 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (4551966720) is a multiple of the sum of its prime factors (196).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48778194567161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 799642533858 + ... + 799642533918.

Almost surely, 2^{48778194567168} is an apocalyptic number.

48778194567168 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 48778194567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88117110768960).

48778194567168 is an abundant number, since it is smaller than the sum of its proper divisors (127456026970752).

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

48778194567168 is an equidigital number, since it uses as much as digits as its factorization.

48778194567168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 127 counting only the distinct ones).

The product of its digits is 4551966720, while the sum is 81.

The spelling of 48778194567168 in words is "forty-eight trillion, seven hundred seventy-eight billion, one hundred ninety-four million, five hundred sixty-seven thousand, one hundred sixty-eight".