162244109664 has 288 divisors, whose sum is σ = 568891552320. Its totient is φ = 42711515136.

The previous prime is 162244109663. The next prime is 162244109707. The reversal of 162244109664 is 466901442261.

162244109664 is a `hidden beast` number, since 1 + 6 + 224 + 410 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×162244109664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162244109663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15116652 + ... + 15127380.

It is an arithmetic number, because the mean of its divisors is an integer number (1975317890).

Almost surely, 2^162244109664 is an apocalyptic number.

162244109664 is a gapful number since it is divisible by the number (14) 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 162244109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284445776160).

162244109664 is an abundant number, since it is smaller than the sum of its proper divisors (406647442656).

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

162244109664 is a wasteful number, since it uses less digits than its factorization.

162244109664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 162244109664 in words is "one hundred sixty-two billion, two hundred forty-four million, one hundred nine thousand, six hundred sixty-four".