201644331000 has 256 divisors, whose sum is σ = 729138309120. Its totient is φ = 45440640000.

The previous prime is 201644330989. The next prime is 201644331011. The reversal of 201644331000 is 133446102.

It is an interprime number because it is at equal distance from previous prime (201644330989) and next prime (201644331011).

It is a super-2 number, since 2×201644331000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1423380 + ... + 1558620.

It is an arithmetic number, because the mean of its divisors is an integer number (2848196520).

Almost surely, 2^201644331000 is an apocalyptic number.

201644331000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201644331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364569154560).

201644331000 is an abundant number, since it is smaller than the sum of its proper divisors (527493978120).

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

201644331000 is a wasteful number, since it uses less digits than its factorization.

201644331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135343 (or 135329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 201644331000 its reverse (133446102), we get a palindrome (201777777102).

The spelling of 201644331000 in words is "two hundred one billion, six hundred forty-four million, three hundred thirty-one thousand".