68142515503104 has 1215 divisors, whose sum is σ = 238214751500817. Its totient is φ = 18714863075328.

The previous prime is 68142515503091. The next prime is 68142515503123. The reversal of 68142515503104 is 40130551524186.

The square root of 68142515503104 is 8254848.

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

68142515503104 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 25 + 15 + 503 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60974858649600 + 7167656853504 = 7808640^2 + 2677248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 68142515503104.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 820994162647 + ... + 820994162729.

Almost surely, 2^{68142515503104} is an apocalyptic number.

68142515503104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68142515503104 is the 8254848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68142515503104

68142515503104 is an abundant number, since it is smaller than the sum of its proper divisors (170072235997713).

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

68142515503104 is an frugal number, since it uses more digits than its factorization.

68142515503104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

It can be divided in two parts, 681425 and 15503104, that added together give a square (16184529 = 4023²).

The spelling of 68142515503104 in words is "sixty-eight trillion, one hundred forty-two billion, five hundred fifteen million, five hundred three thousand, one hundred four".