47180884416468 has 384 divisors, whose sum is σ = 132408815616000. Its totient is φ = 12907361871360.

The previous prime is 47180884416443. The next prime is 47180884416521. The reversal of 47180884416468 is 86461448808174.

It is a super-2 number, since 2×47180884416468² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32337822723 + ... + 32337824181.

It is an arithmetic number, because the mean of its divisors is an integer number (344814624000).

Almost surely, 2^{47180884416468} 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 47180884416468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66204407808000).

47180884416468 is an abundant number, since it is smaller than the sum of its proper divisors (85227931199532).

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

47180884416468 is a wasteful number, since it uses less digits than its factorization.

47180884416468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 264241152, while the sum is 69.

The spelling of 47180884416468 in words is "forty-seven trillion, one hundred eighty billion, eight hundred eighty-four million, four hundred sixteen thousand, four hundred sixty-eight".