47095416576 has 540 divisors, whose sum is σ = 154790198640. Its totient is φ = 14233190400.

The previous prime is 47095416569. The next prime is 47095416581. The reversal of 47095416576 is 67561459074.

47095416576 is a `hidden beast` number, since 4 + 7 + 0 + 9 + 54 + 16 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 311890101 + ... + 311890251.

It is an arithmetic number, because the mean of its divisors is an integer number (286648516).

Almost surely, 2^47095416576 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 47095416576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77395099320).

47095416576 is an abundant number, since it is smaller than the sum of its proper divisors (107694782064).

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

47095416576 is a wasteful number, since it uses less digits than its factorization.

47095416576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 47095416576 in words is "forty-seven billion, ninety-five million, four hundred sixteen thousand, five hundred seventy-six".