47661123216 has 160 divisors (see below), whose sum is σ = 145731942400. Its totient is φ = 13413907584.

The previous prime is 47661123161. The next prime is 47661123217. The reversal of 47661123216 is 61232116674.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (47661123217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1081485 + ... + 1124691.

It is an arithmetic number, because the mean of its divisors is an integer number (910824640).

Almost surely, 2^47661123216 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 47661123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72865971200).

47661123216 is an abundant number, since it is smaller than the sum of its proper divisors (98070819184).

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

47661123216 is a wasteful number, since it uses less digits than its factorization.

47661123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43306 (or 43286 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The spelling of 47661123216 in words is "forty-seven billion, six hundred sixty-one million, one hundred twenty-three thousand, two hundred sixteen".