47431097548800 has 2304 divisors, whose sum is σ = 196249160678400. Its totient is φ = 9873653760000.

The previous prime is 47431097548789. The next prime is 47431097548841. The reversal of 47431097548800 is 884579013474.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314113228725 + ... + 314113228875.

It is an arithmetic number, because the mean of its divisors is an integer number (85177587100).

Almost surely, 2^{47431097548800} is an apocalyptic number.

47431097548800 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 47431097548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98124580339200).

47431097548800 is an abundant number, since it is smaller than the sum of its proper divisors (148818063129600).

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

47431097548800 is a wasteful number, since it uses less digits than its factorization.

47431097548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 47431097548800 in words is "forty-seven trillion, four hundred thirty-one billion, ninety-seven million, five hundred forty-eight thousand, eight hundred".