47818348800 has 324 divisors, whose sum is σ = 166577619600. Its totient is φ = 12078673920.

The previous prime is 47818348793. The next prime is 47818348807. The reversal of 47818348800 is 884381874.

It is an interprime number because it is at equal distance from previous prime (47818348793) and next prime (47818348807).

It is a super-2 number, since 2×47818348800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47818348807) 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 35 ways as a sum of consecutive naturals, for example, 6927751 + ... + 6934649.

Almost surely, 2^47818348800 is an apocalyptic number.

47818348800 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 47818348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83288809800).

47818348800 is an abundant number, since it is smaller than the sum of its proper divisors (118759270800).

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

47818348800 is a wasteful number, since it uses less digits than its factorization.

47818348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6966 (or 6928 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The spelling of 47818348800 in words is "forty-seven billion, eight hundred eighteen million, three hundred forty-eight thousand, eight hundred".