68386248000 has 896 divisors, whose sum is σ = 296197324800. Its totient is φ = 15116544000.

The previous prime is 68386247987. The next prime is 68386248019. The reversal of 68386248000 is 84268386.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46871271 + ... + 46872729.

Almost surely, 2^68386248000 is an apocalyptic number.

68386248000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68386248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148098662400).

68386248000 is an abundant number, since it is smaller than the sum of its proper divisors (227811076800).

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

68386248000 is a wasteful number, since it uses less digits than its factorization.

68386248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 68386248000 in words is "sixty-eight billion, three hundred eighty-six million, two hundred forty-eight thousand".