201780184968 has 64 divisors (see below), whose sum is σ = 561241392000. Its totient is φ = 67171156416.

The previous prime is 201780184967. The next prime is 201780184987. The reversal of 201780184968 is 869481087102.

201780184968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201780184968² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (201780184961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 453508 + ... + 780531.

It is an arithmetic number, because the mean of its divisors is an integer number (8769396750).

Almost surely, 2^201780184968 is an apocalyptic number.

It is an amenable number.

201780184968 is an abundant number, since it is smaller than the sum of its proper divisors (359461207032).

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

201780184968 is a wasteful number, since it uses less digits than its factorization.

201780184968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234811 (or 1234801 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 201780184968 in words is "two hundred one billion, seven hundred eighty million, one hundred eighty-four thousand, nine hundred sixty-eight".