272197449216 has 1440 divisors, whose sum is σ = 1068378806880. Its totient is φ = 68976230400.

The previous prime is 272197449211. The next prime is 272197449217. The reversal of 272197449216 is 612944791272.

272197449216 is a `hidden beast` number, since 2 + 7 + 2 + 197 + 449 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (3048192) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272197449211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6638962156 + ... + 6638962196.

It is an arithmetic number, because the mean of its divisors is an integer number (741929727).

Almost surely, 2^272197449216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272197449216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534189403440).

272197449216 is an abundant number, since it is smaller than the sum of its proper divisors (796181357664).

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

272197449216 is an frugal number, since it uses more digits than its factorization.

272197449216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

272197449216 divided by its product of digits (3048192) gives a palindrome (89298).

The spelling of 272197449216 in words is "two hundred seventy-two billion, one hundred ninety-seven million, four hundred forty-nine thousand, two hundred sixteen".