47999457466488 has 240 divisors, whose sum is σ = 147952443870000. Its totient is φ = 14527933770240.

The previous prime is 47999457466469. The next prime is 47999457466507. The reversal of 47999457466488 is 88466475499974.

47999457466488 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 94 + 57 + 466 + 4 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (47999457466469) and next prime (47999457466507).

It is a super-3 number, since 3×47999457466488³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 47999457466398 and 47999457466407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 65419488 + ... + 66149136.

It is an arithmetic number, because the mean of its divisors is an integer number (616468516125).

Almost surely, 2^{47999457466488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47999457466488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73976221935000).

47999457466488 is an abundant number, since it is smaller than the sum of its proper divisors (99952986403512).

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

47999457466488 is a wasteful number, since it uses less digits than its factorization.

47999457466488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730528 (or 730504 counting only the distinct ones).

The product of its digits is 105345515520, while the sum is 90.

The spelling of 47999457466488 in words is "forty-seven trillion, nine hundred ninety-nine billion, four hundred fifty-seven million, four hundred sixty-six thousand, four hundred eighty-eight".