127983631504 has 45 divisors (see below), whose sum is σ = 263462756011. Its totient is φ = 60216143360.

The previous prime is 127983631499. The next prime is 127983631511. The reversal of 127983631504 is 405136389721.

The square root of 127983631504 is 357748.

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

It can be written as a sum of positive squares in 4 ways, for example, as 35051328400 + 92932303104 = 187220^2 + 304848^2 .

It is a super-3 number, since 3×127983631504³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24324234 + ... + 24329494.

It is a 1-persistent number, because it is pandigital, but 2⋅127983631504 = 255967263008 is not.

Almost surely, 2^127983631504 is an apocalyptic number.

127983631504 is the 357748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127983631504

127983631504 is an abundant number, since it is smaller than the sum of its proper divisors (135479124507).

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

127983631504 is an frugal number, since it uses more digits than its factorization.

127983631504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10564 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 127983631504 by its sum of digits (49), we get a square (6271197943696 = 2504236²).

The spelling of 127983631504 in words is "one hundred twenty-seven billion, nine hundred eighty-three million, six hundred thirty-one thousand, five hundred four".