47184145920 has 560 divisors, whose sum is σ = 171799821072. Its totient is φ = 12421693440.

The previous prime is 47184145873. The next prime is 47184145979. The reversal of 47184145920 is 2954148174.

47184145920 is a `hidden beast` number, since 4 + 7 + 18 + 41 + 4 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 244477344 + ... + 244477536.

Almost surely, 2^47184145920 is an apocalyptic number.

47184145920 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 47184145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85899910536).

47184145920 is an abundant number, since it is smaller than the sum of its proper divisors (124615675152).

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

47184145920 is an equidigital number, since it uses as much as digits as its factorization.

47184145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 47184145920 in words is "forty-seven billion, one hundred eighty-four million, one hundred forty-five thousand, nine hundred twenty".