61318171070464 has 585 divisors, whose sum is σ = 157932231229871. Its totient is φ = 23784953364480.

The previous prime is 61318171070459. The next prime is 61318171070467. The reversal of 61318171070464 is 46407017181316.

The square root of 61318171070464 is 7830592.

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

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (61318171070467) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 270124101519 + ... + 270124101745.

Almost surely, 2^{61318171070464} is an apocalyptic number.

61318171070464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

61318171070464 is the 7830592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61318171070464

61318171070464 is an abundant number, since it is smaller than the sum of its proper divisors (96614060159407).

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

61318171070464 is an frugal number, since it uses more digits than its factorization.

61318171070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

61318171070464 divided by its sum of digits (49) gives a square (1251391246336 = 1118656²).

The spelling of 61318171070464 in words is "sixty-one trillion, three hundred eighteen billion, one hundred seventy-one million, seventy thousand, four hundred sixty-four".