47946494668800 has 1872 divisors, whose sum is σ = 200894454119520. Its totient is φ = 9998885191680.

The previous prime is 47946494668789. The next prime is 47946494668841. The reversal of 47946494668800 is 886649464974.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 17416088224 + ... + 17416090976.

Almost surely, 2^{47946494668800} is an apocalyptic number.

47946494668800 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 47946494668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100447227059760).

47946494668800 is an abundant number, since it is smaller than the sum of its proper divisors (152947959450720).

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

47946494668800 is a wasteful number, since it uses less digits than its factorization.

47946494668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 75.

The spelling of 47946494668800 in words is "forty-seven trillion, nine hundred forty-six billion, four hundred ninety-four million, six hundred sixty-eight thousand, eight hundred".