47918304000 has 1440 divisors, whose sum is σ = 216062246400. Its totient is φ = 10301644800.

The previous prime is 47918303977. The next prime is 47918304011. The reversal of 47918304000 is 40381974.

It is a happy number.

47918304000 is a `hidden beast` number, since 4 + 79 + 183 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×47918304000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 344735931 + ... + 344736069.

Almost surely, 2^47918304000 is an apocalyptic number.

47918304000 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 47918304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108031123200).

47918304000 is an abundant number, since it is smaller than the sum of its proper divisors (168143942400).

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

47918304000 is a wasteful number, since it uses less digits than its factorization.

47918304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 47918304000 its reverse (40381974), we get a palindrome (47958685974).

The spelling of 47918304000 in words is "forty-seven billion, nine hundred eighteen million, three hundred four thousand".