47891418624 has 240 divisors, whose sum is σ = 167257160928. Its totient is φ = 12878217216.

The previous prime is 47891418599. The next prime is 47891418637. The reversal of 47891418624 is 42681419874.

47891418624 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 1 + 4 + 1 + 8 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504684 + ... + 592020.

Almost surely, 2^47891418624 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 47891418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83628580464).

47891418624 is an abundant number, since it is smaller than the sum of its proper divisors (119365742304).

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

47891418624 is a wasteful number, since it uses less digits than its factorization.

47891418624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87385 (or 87366 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 47891418624 in words is "forty-seven billion, eight hundred ninety-one million, four hundred eighteen thousand, six hundred twenty-four".