47665449216 has 1008 divisors, whose sum is σ = 185304526848. Its totient is φ = 11869286400.

The previous prime is 47665449149. The next prime is 47665449263. The reversal of 47665449216 is 61294456674.

47665449216 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 544 + 92 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 445471435 + ... + 445471541.

It is an arithmetic number, because the mean of its divisors is an integer number (183833856).

Almost surely, 2^47665449216 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 47665449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92652263424).

47665449216 is an abundant number, since it is smaller than the sum of its proper divisors (137639077632).

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

47665449216 is a wasteful number, since it uses less digits than its factorization.

47665449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 47665449216 in words is "forty-seven billion, six hundred sixty-five million, four hundred forty-nine thousand, two hundred sixteen".