47948511744 has 360 divisors, whose sum is σ = 163236979620. Its totient is φ = 13507264512.

The previous prime is 47948511733. The next prime is 47948511803. The reversal of 47948511744 is 44711584974.

47948511744 is a `hidden beast` number, since 4 + 7 + 9 + 485 + 117 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45236185344 + 2712326400 = 212688^2 + 52080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16481362 + ... + 16484270.

Almost surely, 2^47948511744 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 47948511744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81618489810).

47948511744 is an abundant number, since it is smaller than the sum of its proper divisors (115288467876).

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

47948511744 is a wasteful number, since it uses less digits than its factorization.

47948511744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3020 (or 2994 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 47948511744 in words is "forty-seven billion, nine hundred forty-eight million, five hundred eleven thousand, seven hundred forty-four".