47763355366100 has 108 divisors (see below), whose sum is σ = 113985835494300. Its totient is φ = 17359290009600.

The previous prime is 47763355366073. The next prime is 47763355366121. The reversal of 47763355366100 is 166355336774.

47763355366100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3344809369924 + 44418545996176 = 1828882^2 + 6664724^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21812066 + ... + 23901734.

It is an arithmetic number, because the mean of its divisors is an integer number (1055424402725).

Almost surely, 2^{47763355366100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47763355366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56992917747150).

47763355366100 is an abundant number, since it is smaller than the sum of its proper divisors (66222480128200).

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

47763355366100 is a wasteful number, since it uses less digits than its factorization.

47763355366100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091594 (or 2091576 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 56.

The spelling of 47763355366100 in words is "forty-seven trillion, seven hundred sixty-three billion, three hundred fifty-five million, three hundred sixty-six thousand, one hundred".