488661237056761 has 8 divisors (see below), whose sum is σ = 489082572727560. Its totient is φ = 488240072842368.

The previous prime is 488661237056719. The next prime is 488661237056771. The reversal of 488661237056761 is 167650732166884.

It can be written as a sum of positive squares in 4 ways, for example, as 49514006951161 + 439147230105600 = 7036619^2 + 20955840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 488661237056761 - 2³¹ = 488659089573113 is a prime.

It is a super-3 number, since 3×488661237056761³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488661237056701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37161196 + ... + 48562093.

It is an arithmetic number, because the mean of its divisors is an integer number (61135321590945).

Almost surely, 2^{488661237056761} is an apocalyptic number.

It is an amenable number.

488661237056761 is a deficient number, since it is larger than the sum of its proper divisors (421335670799).

488661237056761 is a wasteful number, since it uses less digits than its factorization.

488661237056761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85728203.

The product of its (nonzero) digits is 487710720, while the sum is 70.

The spelling of 488661237056761 in words is "four hundred eighty-eight trillion, six hundred sixty-one billion, two hundred thirty-seven million, fifty-six thousand, seven hundred sixty-one".