169485672427344 has 960 divisors, whose sum is σ = 608248749588480. Its totient is φ = 42872164392960.

The previous prime is 169485672427321. The next prime is 169485672427387. The reversal of 169485672427344 is 443724276584961.

169485672427344 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 8 + 567 + 2 + 4 + 27 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 7302572412 + ... + 7302595620.

It is an arithmetic number, because the mean of its divisors is an integer number (633592447488).

Almost surely, 2^{169485672427344} is an apocalyptic number.

169485672427344 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 169485672427344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304124374794240).

169485672427344 is an abundant number, since it is smaller than the sum of its proper divisors (438763077161136).

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

169485672427344 is a wasteful number, since it uses less digits than its factorization.

169485672427344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23528 (or 23519 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 169485672427344 in words is "one hundred sixty-nine trillion, four hundred eighty-five billion, six hundred seventy-two million, four hundred twenty-seven thousand, three hundred forty-four".