68386813415424 has 975 divisors, whose sum is σ = 239141746919273. Its totient is φ = 19472403234816.

The previous prime is 68386813415387. The next prime is 68386813415441. The reversal of 68386813415424 is 42451431868386.

The square root of 68386813415424 is 8269632.

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

68386813415424 is a `hidden beast` number, since 6 + 8 + 3 + 8 + 6 + 81 + 3 + 4 + 1 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64703361945600 + 3683451469824 = 8043840^2 + 1919232^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 233402093422 + ... + 233402093714.

Almost surely, 2^{68386813415424} is an apocalyptic number.

68386813415424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68386813415424 is the 8269632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68386813415424

68386813415424 is an abundant number, since it is smaller than the sum of its proper divisors (170754933503849).

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

68386813415424 is an frugal number, since it uses more digits than its factorization.

68386813415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 305 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 68386813415424 in words is "sixty-eight trillion, three hundred eighty-six billion, eight hundred thirteen million, four hundred fifteen thousand, four hundred twenty-four".