47201616 has 300 divisors, whose sum is σ = 175606816. Its totient is φ = 11975040.

The previous prime is 47201611. The next prime is 47201621. The reversal of 47201616 is 61610274.

47201616 is a `hidden beast` number, since 47 + 2 + 0 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (47201611) and next prime (47201621).

It is a super-2 number, since 2×47201616² = 4455985106022912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 47201616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47201611) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1097691 + ... + 1097733.

Almost surely, 2^47201616 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 47201616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87803408).

47201616 is an abundant number, since it is smaller than the sum of its proper divisors (128405200).

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

47201616 is a wasteful number, since it uses less digits than its factorization.

47201616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47201616 is about 6870.3432228674. The cubic root of 47201616 is about 361.3978981981.

It can be divided in two parts, 4720 and 1616, that added together give a palindrome (6336).

The spelling of 47201616 in words is "forty-seven million, two hundred one thousand, six hundred sixteen".