271724497984 has 63 divisors (see below), whose sum is σ = 563865245013. Its totient is φ = 129909322752.

The previous prime is 271724497969. The next prime is 271724497991. The reversal of 271724497984 is 489794427172.

The square root of 271724497984 is 521272.

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

It can be written as a sum of positive squares in only one way, i.e., 106667560000 + 165056937984 = 326600^2 + 406272^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95912632 + ... + 95915464.

Almost surely, 2^271724497984 is an apocalyptic number.

271724497984 is the 521272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271724497984

271724497984 is an abundant number, since it is smaller than the sum of its proper divisors (292140747029).

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

271724497984 is an frugal number, since it uses more digits than its factorization.

271724497984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5724 (or 2858 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

Multiplying 271724497984 by its sum of digits (64), we get a square (17390367870976 = 4170176²).

271724497984 divided by its sum of digits (64) gives a square (4245695281 = 65159²).

The spelling of 271724497984 in words is "two hundred seventy-one billion, seven hundred twenty-four million, four hundred ninety-seven thousand, nine hundred eighty-four".