161472876824448 has 1024 divisors, whose sum is σ = 574555914240000. Its totient is φ = 44579808000000.

The previous prime is 161472876824407. The next prime is 161472876824477. The reversal of 161472876824448 is 844428678274161.

161472876824448 is a `hidden beast` number, since 1 + 6 + 1 + 4 + 7 + 287 + 68 + 244 + 48 = 666.

It is a super-2 number, since 2×161472876824448² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27597480723 + ... + 27597486573.

It is an arithmetic number, because the mean of its divisors is an integer number (561089760000).

Almost surely, 2^{161472876824448} is an apocalyptic number.

161472876824448 is a gapful number since it is divisible by the number (18) 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 161472876824448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287277957120000).

161472876824448 is an abundant number, since it is smaller than the sum of its proper divisors (413083037415552).

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

161472876824448 is an equidigital number, since it uses as much as digits as its factorization.

161472876824448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6677 (or 6645 counting only the distinct ones).

The product of its digits is 924844032, while the sum is 72.

The spelling of 161472876824448 in words is "one hundred sixty-one trillion, four hundred seventy-two billion, eight hundred seventy-six million, eight hundred twenty-four thousand, four hundred forty-eight".