201884408820 has 72 divisors (see below), whose sum is σ = 648405228744. Its totient is φ = 50669027328.

The previous prime is 201884408753. The next prime is 201884408821. The reversal of 201884408820 is 28804488102.

201884408820 is a `hidden beast` number, since 2 + 0 + 188 + 440 + 8 + 8 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1828588644 + 200055820176 = 42762^2 + 447276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201884408821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32984589 + ... + 32990708.

It is an arithmetic number, because the mean of its divisors is an integer number (9005628177).

Almost surely, 2^201884408820 is an apocalyptic number.

201884408820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201884408820 is an abundant number, since it is smaller than the sum of its proper divisors (446520819924).

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

201884408820 is a wasteful number, since it uses less digits than its factorization.

201884408820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65975329 (or 65975324 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 201884408820 in words is "two hundred one billion, eight hundred eighty-four million, four hundred eight thousand, eight hundred twenty".