47941648935120 has 120 divisors (see below), whose sum is σ = 161006906899176. Its totient is φ = 12784211887104.

The previous prime is 47941648935119. The next prime is 47941648935197. The reversal of 47941648935120 is 2153984614974.

47941648935120 is a `hidden beast` number, since 4 + 7 + 9 + 416 + 4 + 8 + 93 + 5 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32939289004176 + 15002359930944 = 5739276^2 + 3873288^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41954382 + ... + 43081938.

It is a 1-persistent number, because it is pandigital, but 2⋅47941648935120 = 95883297870240 is not.

Almost surely, 2^{47941648935120} is an apocalyptic number.

47941648935120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47941648935120 is an abundant number, since it is smaller than the sum of its proper divisors (113065257964056).

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

47941648935120 is a wasteful number, since it uses less digits than its factorization.

47941648935120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186629 (or 1186620 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 47941648935120 in words is "forty-seven trillion, nine hundred forty-one billion, six hundred forty-eight million, nine hundred thirty-five thousand, one hundred twenty".