48931779456 has 768 divisors, whose sum is σ = 185861952000. Its totient is φ = 12569001984.

The previous prime is 48931779451. The next prime is 48931779511. The reversal of 48931779456 is 65497713984.

48931779456 is a `hidden beast` number, since 4 + 8 + 9 + 3 + 177 + 9 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 48931779393 and 48931779402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48931779451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 66213135 + ... + 66213873.

It is an arithmetic number, because the mean of its divisors is an integer number (242007750).

Almost surely, 2^48931779456 is an apocalyptic number.

48931779456 is a gapful number since it is divisible by the number (46) 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 48931779456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930976000).

48931779456 is an abundant number, since it is smaller than the sum of its proper divisors (136930172544).

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

48931779456 is a wasteful number, since it uses less digits than its factorization.

48931779456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 791 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 48931779456 in words is "forty-eight billion, nine hundred thirty-one million, seven hundred seventy-nine thousand, four hundred fifty-six".