272144674188864 has 189 divisors, whose sum is σ = 782000129377233. Its totient is φ = 90489083088384.

The previous prime is 272144674188841. The next prime is 272144674188899. The reversal of 272144674188864 is 468881476441272.

The square root of 272144674188864 is 16496808.

It is a perfect power (a square), and thus also a powerful number.

272144674188864 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 4 + 467 + 4 + 1 + 88 + 86 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127256268147264 + 144888406041600 = 11280792^2 + 12036960^2 .

It is a super-2 number, since 2×272144674188864² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 272144674188792 and 272144674188801.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 254578740522 + ... + 254578741590.

Almost surely, 2^{272144674188864} is an apocalyptic number.

272144674188864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

272144674188864 is the 16496808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272144674188864

272144674188864 is an abundant number, since it is smaller than the sum of its proper divisors (509855455188369).

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

272144674188864 is an frugal number, since it uses more digits than its factorization.

272144674188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 1717 counting only the distinct ones).

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

The spelling of 272144674188864 in words is "two hundred seventy-two trillion, one hundred forty-four billion, six hundred seventy-four million, one hundred eighty-eight thousand, eight hundred sixty-four".