47911456819968 has 288 divisors, whose sum is σ = 147200475072000. Its totient is φ = 13551490695168.

The previous prime is 47911456819951. The next prime is 47911456819969. The reversal of 47911456819968 is 86991865411974.

It is a super-2 number, since 2×47911456819968² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47911456819893 and 47911456819902.

It is not an unprimeable number, because it can be changed into a prime (47911456819969) 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 31 ways as a sum of consecutive naturals, for example, 260703280 + ... + 260886992.

Almost surely, 2^{47911456819968} is an apocalyptic number.

47911456819968 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 47911456819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73600237536000).

47911456819968 is an abundant number, since it is smaller than the sum of its proper divisors (99289018252032).

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

47911456819968 is a wasteful number, since it uses less digits than its factorization.

47911456819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184227 (or 184213 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 78.

The spelling of 47911456819968 in words is "forty-seven trillion, nine hundred eleven billion, four hundred fifty-six million, eight hundred nineteen thousand, nine hundred sixty-eight".