201980183264 has 48 divisors (see below), whose sum is σ = 408820392288. Its totient is φ = 98158459392.

The previous prime is 201980183263. The next prime is 201980183269. The reversal of 201980183264 is 462381089102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201980183263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1056722 + ... + 1233134.

It is an arithmetic number, because the mean of its divisors is an integer number (8517091506).

Almost surely, 2^201980183264 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 201980183264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204410196144).

201980183264 is an abundant number, since it is smaller than the sum of its proper divisors (206840209024).

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

201980183264 is a wasteful number, since it uses less digits than its factorization.

201980183264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177427 (or 177419 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 201980183264 in words is "two hundred one billion, nine hundred eighty million, one hundred eighty-three thousand, two hundred sixty-four".