47353242816 has 336 divisors, whose sum is σ = 154797971328. Its totient is φ = 14233190400.

The previous prime is 47353242799. The next prime is 47353242821. The reversal of 47353242816 is 61824235374.

47353242816 is a `hidden beast` number, since 4 + 73 + 532 + 42 + 8 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22409376 + ... + 22411488.

It is an arithmetic number, because the mean of its divisors is an integer number (460708248).

Almost surely, 2^47353242816 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 47353242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77398985664).

47353242816 is an abundant number, since it is smaller than the sum of its proper divisors (107444728512).

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

47353242816 is a wasteful number, since it uses less digits than its factorization.

47353242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2260 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 47353242816 in words is "forty-seven billion, three hundred fifty-three million, two hundred forty-two thousand, eight hundred sixteen".