271623741161472 has 720 divisors, whose sum is σ = 943080655974912. Its totient is φ = 76513172520960.

The previous prime is 271623741161471. The next prime is 271623741161557. The reversal of 271623741161472 is 274161147326172.

271623741161472 is a `hidden beast` number, since 2 + 7 + 1 + 6 + 2 + 3 + 7 + 4 + 1 + 161 + 472 = 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.

It is not an unprimeable number, because it can be changed into a prime (271623741161471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978643428 + ... + 1978780700.

Almost surely, 2^{271623741161472} 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 271623741161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471540327987456).

271623741161472 is an abundant number, since it is smaller than the sum of its proper divisors (671456914813440).

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

271623741161472 is an frugal number, since it uses more digits than its factorization.

271623741161472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137394 (or 137356 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 271623741161472 in words is "two hundred seventy-one trillion, six hundred twenty-three billion, seven hundred forty-one million, one hundred sixty-one thousand, four hundred seventy-two".