169138282320 has 360 divisors, whose sum is σ = 662584161096. Its totient is φ = 38553532416.

The previous prime is 169138282297. The next prime is 169138282331. The reversal of 169138282320 is 23282831961.

169138282320 is a `hidden beast` number, since 16 + 9 + 1 + 38 + 282 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7312302144 + 161825980176 = 85512^2 + 402276^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×169138282320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13153014 + ... + 13165866.

Almost surely, 2^169138282320 is an apocalyptic number.

169138282320 is a gapful number since it is divisible by the number (10) 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 169138282320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331292080548).

169138282320 is an abundant number, since it is smaller than the sum of its proper divisors (493445878776).

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

169138282320 is a wasteful number, since it uses less digits than its factorization.

169138282320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13259 (or 13243 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 169138282320 in words is "one hundred sixty-nine billion, one hundred thirty-eight million, two hundred eighty-two thousand, three hundred twenty".