47016208052352 has 2400 divisors, whose sum is σ = 184233277628400. Its totient is φ = 11928002042880.

The previous prime is 47016208052327. The next prime is 47016208052357. The reversal of 47016208052352 is 25325080261074.

47016208052352 is a `hidden beast` number, since 4 + 70 + 1 + 6 + 2 + 0 + 8 + 0 + 523 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47016208052298 and 47016208052307.

It is not an unprimeable number, because it can be changed into a prime (47016208052357) by changing a digit.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 1093400187243 + ... + 1093400187285.

Almost surely, 2^{47016208052352} is an apocalyptic number.

47016208052352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47016208052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92116638814200).

47016208052352 is an abundant number, since it is smaller than the sum of its proper divisors (137217069576048).

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

47016208052352 is an frugal number, since it uses more digits than its factorization.

47016208052352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 47016208052352 in words is "forty-seven trillion, sixteen billion, two hundred eight million, fifty-two thousand, three hundred fifty-two".