47833188480 has 1536 divisors, whose sum is σ = 219967488000. Its totient is φ = 9483264000.

The previous prime is 47833188451. The next prime is 47833188493. The reversal of 47833188480 is 8488133874.

It is a happy number.

47833188480 is a `hidden beast` number, since 4 + 7 + 83 + 3 + 1 + 88 + 480 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 673706845 + ... + 673706915.

It is an arithmetic number, because the mean of its divisors is an integer number (143208000).

Almost surely, 2^47833188480 is an apocalyptic number.

47833188480 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 47833188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983744000).

47833188480 is an abundant number, since it is smaller than the sum of its proper divisors (172134299520).

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

47833188480 is a wasteful number, since it uses less digits than its factorization.

47833188480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 47833188480 in words is "forty-seven billion, eight hundred thirty-three million, one hundred eighty-eight thousand, four hundred eighty".