271972463616 has 440 divisors, whose sum is σ = 932048162496. Its totient is φ = 77383434240.

The previous prime is 271972463599. The next prime is 271972463639. The reversal of 271972463616 is 616364279172.

271972463616 is a `hidden beast` number, since 2 + 7 + 19 + 7 + 2 + 4 + 6 + 3 + 616 = 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 163150015 + ... + 163151681.

Almost surely, 2^271972463616 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 271972463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466024081248).

271972463616 is an abundant number, since it is smaller than the sum of its proper divisors (660075698880).

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

271972463616 is a wasteful number, since it uses less digits than its factorization.

271972463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1960 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 271972463616 in words is "two hundred seventy-one billion, nine hundred seventy-two million, four hundred sixty-three thousand, six hundred sixteen".