47661244416 has 168 divisors, whose sum is σ = 141046620624. Its totient is φ = 15498608640.

The previous prime is 47661244399. The next prime is 47661244427. The reversal of 47661244416 is 61444216674.

47661244416 is a `hidden beast` number, since 476 + 6 + 124 + 44 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3014965 + ... + 3030731.

It is an arithmetic number, because the mean of its divisors is an integer number (839563218).

Almost surely, 2^47661244416 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 47661244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70523310312).

47661244416 is an abundant number, since it is smaller than the sum of its proper divisors (93385376208).

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

47661244416 is a wasteful number, since it uses less digits than its factorization.

47661244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15840 (or 15813 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 47661244416 in words is "forty-seven billion, six hundred sixty-one million, two hundred forty-four thousand, four hundred sixteen".