47232116064 has 432 divisors, whose sum is σ = 163615325328. Its totient is φ = 13363273728.

The previous prime is 47232116023. The next prime is 47232116069. The reversal of 47232116064 is 46061123274.

47232116064 is a `hidden beast` number, since 4 + 7 + 2 + 32 + 11 + 606 + 4 = 666.

47232116064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47232116069) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43055164 + ... + 43056260.

It is an arithmetic number, because the mean of its divisors is an integer number (378739179).

Almost surely, 2^47232116064 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 47232116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81807662664).

47232116064 is an abundant number, since it is smaller than the sum of its proper divisors (116383209264).

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

47232116064 is a wasteful number, since it uses less digits than its factorization.

47232116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 47232116064 in words is "forty-seven billion, two hundred thirty-two million, one hundred sixteen thousand, sixty-four".