48778341120 has 432 divisors, whose sum is σ = 177099616512. Its totient is φ = 12371927040.

The previous prime is 48778341083. The next prime is 48778341151. The reversal of 48778341120 is 2114387784.

48778341120 is a `hidden beast` number, since 487 + 7 + 8 + 3 + 41 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 60145515 + ... + 60146325.

It is an arithmetic number, because the mean of its divisors is an integer number (409952816).

Almost surely, 2^48778341120 is an apocalyptic number.

48778341120 is a gapful number since it is divisible by the number (40) 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 48778341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88549808256).

48778341120 is an abundant number, since it is smaller than the sum of its proper divisors (128321275392).

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

48778341120 is a wasteful number, since it uses less digits than its factorization.

48778341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 48778341120 in words is "forty-eight billion, seven hundred seventy-eight million, three hundred forty-one thousand, one hundred twenty".