201227573111664 has 640 divisors, whose sum is σ = 621517160070144. Its totient is φ = 55403937792000.

The previous prime is 201227573111597. The next prime is 201227573111693. The reversal of 201227573111664 is 466111375722102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 127 ways as a sum of consecutive naturals, for example, 23615483724 + ... + 23615492244.

Almost surely, 2^{201227573111664} is an apocalyptic number.

201227573111664 is a gapful number since it is divisible by the number (24) 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 201227573111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310758580035072).

201227573111664 is an abundant number, since it is smaller than the sum of its proper divisors (420289586958480).

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

201227573111664 is a wasteful number, since it uses less digits than its factorization.

201227573111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 201227573111664 in words is "two hundred one trillion, two hundred twenty-seven billion, five hundred seventy-three million, one hundred eleven thousand, six hundred sixty-four".