201164818497360 has 160 divisors (see below), whose sum is σ = 630443081917440. Its totient is φ = 53058222465024.

The previous prime is 201164818497301. The next prime is 201164818497371. The reversal of 201164818497360 is 63794818461102.

201164818497360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 201164818497294 and 201164818497303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5247702 + ... + 20733258.

It is an arithmetic number, because the mean of its divisors is an integer number (3940269261984).

Almost surely, 2^{201164818497360} is an apocalyptic number.

201164818497360 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 201164818497360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315221540958720).

201164818497360 is an abundant number, since it is smaller than the sum of its proper divisors (429278263420080).

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

201164818497360 is a wasteful number, since it uses less digits than its factorization.

201164818497360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15486165 (or 15486159 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 201164818497360 in words is "two hundred one trillion, one hundred sixty-four billion, eight hundred eighteen million, four hundred ninety-seven thousand, three hundred sixty".