47484546408 has 512 divisors, whose sum is σ = 155723904000. Its totient is φ = 13450364928.

The previous prime is 47484546397. The next prime is 47484546409. The reversal of 47484546408 is 80464548474.

47484546408 is a `hidden beast` number, since 474 + 84 + 54 + 6 + 40 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (47484546409) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 151707660 + ... + 151707972.

It is an arithmetic number, because the mean of its divisors is an integer number (304148250).

Almost surely, 2^47484546408 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 47484546408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77861952000).

47484546408 is an abundant number, since it is smaller than the sum of its proper divisors (108239357592).

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

47484546408 is a wasteful number, since it uses less digits than its factorization.

47484546408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 54.

The spelling of 47484546408 in words is "forty-seven billion, four hundred eighty-four million, five hundred forty-six thousand, four hundred eight".