47737410048 has 320 divisors, whose sum is σ = 151778499840. Its totient is φ = 14760345600.

The previous prime is 47737410029. The next prime is 47737410053. The reversal of 47737410048 is 84001473774.

47737410048 is a `hidden beast` number, since 477 + 3 + 74 + 100 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47737409985 and 47737410012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16684138 + ... + 16686998.

It is an arithmetic number, because the mean of its divisors is an integer number (474307812).

Almost surely, 2^47737410048 is an apocalyptic number.

47737410048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47737410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75889249920).

47737410048 is an abundant number, since it is smaller than the sum of its proper divisors (104041089792).

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

47737410048 is a wasteful number, since it uses less digits than its factorization.

47737410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 47737410048 in words is "forty-seven billion, seven hundred thirty-seven million, four hundred ten thousand, forty-eight".