47466117906768 has 480 divisors, whose sum is σ = 155002677193728. Its totient is φ = 13414209177600.

The previous prime is 47466117906709. The next prime is 47466117906769. The reversal of 47466117906768 is 86760971166474.

47466117906768 is a `hidden beast` number, since 4 + 7 + 466 + 1 + 1 + 7 + 90 + 6 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 47466117906696 and 47466117906705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47466117906769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2573656555 + ... + 2573674997.

Almost surely, 2^{47466117906768} is an apocalyptic number.

47466117906768 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 47466117906768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77501338596864).

47466117906768 is an abundant number, since it is smaller than the sum of its proper divisors (107536559286960).

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

47466117906768 is a wasteful number, since it uses less digits than its factorization.

47466117906768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20255 (or 20246 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 47466117906768 in words is "forty-seven trillion, four hundred sixty-six billion, one hundred seventeen million, nine hundred six thousand, seven hundred sixty-eight".