47303643816000 has 1792 divisors, whose sum is σ = 214626914611200. Its totient is φ = 10028178432000.

The previous prime is 47303643815941. The next prime is 47303643816061. The reversal of 47303643816000 is 61834630374.

47303643816000 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 3 + 6 + 4 + 38 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 586831699 + ... + 586912301.

It is an arithmetic number, because the mean of its divisors is an integer number (119769483600).

Almost surely, 2^{47303643816000} is an apocalyptic number.

47303643816000 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 47303643816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107313457305600).

47303643816000 is an abundant number, since it is smaller than the sum of its proper divisors (167323270795200).

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

47303643816000 is a wasteful number, since it uses less digits than its factorization.

47303643816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80682 (or 80656 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 47303643816000 in words is "forty-seven trillion, three hundred three billion, six hundred forty-three million, eight hundred sixteen thousand".