47118465216 has 336 divisors, whose sum is σ = 141151465728. Its totient is φ = 15019776000.

The previous prime is 47118465179. The next prime is 47118465217. The reversal of 47118465216 is 61256481174.

47118465216 is a `hidden beast` number, since 4 + 7 + 118 + 4 + 6 + 521 + 6 = 666.

47118465216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47118465216² (a number of 22 digits) contains 22 as substring.

Its product of digits (322560) is a multiple of the sum of its prime factors (420).

It is not an unprimeable number, because it can be changed into a prime (47118465217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312042741 + ... + 312042891.

It is an arithmetic number, because the mean of its divisors is an integer number (420093648).

Almost surely, 2^47118465216 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 47118465216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70575732864).

47118465216 is an abundant number, since it is smaller than the sum of its proper divisors (94033000512).

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

47118465216 is a wasteful number, since it uses less digits than its factorization.

47118465216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 47118465216 in words is "forty-seven billion, one hundred eighteen million, four hundred sixty-five thousand, two hundred sixteen".