47848812480 has 1120 divisors, whose sum is σ = 206202028032. Its totient is φ = 10301644800.

The previous prime is 47848812461. The next prime is 47848812497. The reversal of 47848812480 is 8421884874.

47848812480 is a `hidden beast` number, since 4 + 7 + 84 + 8 + 81 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-4 number, since 4×47848812480⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 264357990 + ... + 264358170.

Almost surely, 2^47848812480 is an apocalyptic number.

47848812480 is a gapful number since it is divisible by the number (40) 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 47848812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103101014016).

47848812480 is an abundant number, since it is smaller than the sum of its proper divisors (158353215552).

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

47848812480 is a wasteful number, since it uses less digits than its factorization.

47848812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 47848812480 in words is "forty-seven billion, eight hundred forty-eight million, eight hundred twelve thousand, four hundred eighty".