47648302128 has 240 divisors, whose sum is σ = 154202630400. Its totient is φ = 13453724160.

The previous prime is 47648302099. The next prime is 47648302133. The reversal of 47648302128 is 82120384674.

It is a happy number.

47648302128 is a `hidden beast` number, since 47 + 6 + 483 + 0 + 2 + 128 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32657463 + ... + 32658921.

It is an arithmetic number, because the mean of its divisors is an integer number (642510960).

Almost surely, 2^47648302128 is an apocalyptic number.

47648302128 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 47648302128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77101315200).

47648302128 is an abundant number, since it is smaller than the sum of its proper divisors (106554328272).

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

47648302128 is a wasteful number, since it uses less digits than its factorization.

47648302128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 47648302128 in words is "forty-seven billion, six hundred forty-eight million, three hundred two thousand, one hundred twenty-eight".