47070595164096 has 1120 divisors, whose sum is σ = 171551778816000. Its totient is φ = 12737297018880.

The previous prime is 47070595164083. The next prime is 47070595164137. The reversal of 47070595164096 is 69046159507074.

47070595164096 is a `hidden beast` number, since 4 + 7 + 0 + 70 + 5 + 9 + 516 + 40 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2590700100 + ... + 2590718268.

Almost surely, 2^{47070595164096} 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 47070595164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85775889408000).

47070595164096 is an abundant number, since it is smaller than the sum of its proper divisors (124481183651904).

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

47070595164096 is a wasteful number, since it uses less digits than its factorization.

47070595164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292 (or 18259 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 47070595164096 in words is "forty-seven trillion, seventy billion, five hundred ninety-five million, one hundred sixty-four thousand, ninety-six".