47306662416000 has 2048 divisors, whose sum is σ = 201970023091200. Its totient is φ = 10778738688000.

The previous prime is 47306662415941. The next prime is 47306662416011. The reversal of 47306662416000 is 61426660374.

It is a happy number.

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, 5823787939 + ... + 5823796061.

Almost surely, 2^{47306662416000} is an apocalyptic number.

47306662416000 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 47306662416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100985011545600).

47306662416000 is an abundant number, since it is smaller than the sum of its proper divisors (154663360675200).

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

47306662416000 is a wasteful number, since it uses less digits than its factorization.

47306662416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8252 (or 8224 counting only the distinct ones).

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

The spelling of 47306662416000 in words is "forty-seven trillion, three hundred six billion, six hundred sixty-two million, four hundred sixteen thousand".