47533502016 has 672 divisors, whose sum is σ = 192604339200. Its totient is φ = 10794332160.

The previous prime is 47533501943. The next prime is 47533502017. The reversal of 47533502016 is 61020533574.

47533502016 is a `hidden beast` number, since 47 + 533 + 50 + 20 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47533502017) 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, 10952775 + ... + 10957113.

It is an arithmetic number, because the mean of its divisors is an integer number (286613600).

Almost surely, 2^47533502016 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 47533502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96302169600).

47533502016 is an abundant number, since it is smaller than the sum of its proper divisors (145070837184).

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

47533502016 is a wasteful number, since it uses less digits than its factorization.

47533502016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 47533502016 in words is "forty-seven billion, five hundred thirty-three million, five hundred two thousand, sixteen".