201885484374648 has 256 divisors, whose sum is σ = 610776492480000. Its totient is φ = 61543571281920.

The previous prime is 201885484374643. The next prime is 201885484374703. The reversal of 201885484374648 is 846473484588102.

201885484374648 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 8 + 54 + 84 + 37 + 464 + 8 = 666.

201885484374648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201885484374643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656933715 + ... + 657240957.

It is an arithmetic number, because the mean of its divisors is an integer number (2385845673750).

Almost surely, 2^{201885484374648} 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 201885484374648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305388246240000).

201885484374648 is an abundant number, since it is smaller than the sum of its proper divisors (408891008105352).

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

201885484374648 is a wasteful number, since it uses less digits than its factorization.

201885484374648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312827 (or 312817 counting only the distinct ones).

The product of its (nonzero) digits is 1321205760, while the sum is 72.

The spelling of 201885484374648 in words is "two hundred one trillion, eight hundred eighty-five billion, four hundred eighty-four million, three hundred seventy-four thousand, six hundred forty-eight".