201461973864 has 48 divisors (see below), whose sum is σ = 521621274720. Its totient is φ = 64838329920.

The previous prime is 201461973827. The next prime is 201461973917. The reversal of 201461973864 is 468379164102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4970452 + ... + 5010819.

It is an arithmetic number, because the mean of its divisors is an integer number (10867109890).

Almost surely, 2^201461973864 is an apocalyptic number.

201461973864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201461973864 is an abundant number, since it is smaller than the sum of its proper divisors (320159300856).

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

201461973864 is a wasteful number, since it uses less digits than its factorization.

201461973864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981338 (or 9981305 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 201461973864 in words is "two hundred one billion, four hundred sixty-one million, nine hundred seventy-three thousand, eight hundred sixty-four".