47398348800 has 720 divisors, whose sum is σ = 191697105600. Its totient is φ = 11479449600.

The previous prime is 47398348759. The next prime is 47398348801. The reversal of 47398348800 is 884389374.

47398348800 is a `hidden beast` number, since 4 + 73 + 98 + 3 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×47398348800² (a number of 22 digits) contains 22 as substring.

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 (47398348801) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 45618681 + ... + 45619719.

It is an arithmetic number, because the mean of its divisors is an integer number (266245980).

Almost surely, 2^47398348800 is an apocalyptic number.

47398348800 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 47398348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95848552800).

47398348800 is an abundant number, since it is smaller than the sum of its proper divisors (144298756800).

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

47398348800 is a wasteful number, since it uses less digits than its factorization.

47398348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 47398348800 in words is "forty-seven billion, three hundred ninety-eight million, three hundred forty-eight thousand, eight hundred".