68457311541300 has 864 divisors, whose sum is σ = 246163254543360. Its totient is φ = 14594291712000.

The previous prime is 68457311541217. The next prime is 68457311541313. The reversal of 68457311541300 is 314511375486.

It is a self number, because there is not a number n which added to its sum of digits gives 68457311541300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 554711202 + ... + 554834598.

It is an arithmetic number, because the mean of its divisors is an integer number (284911174240).

Almost surely, 2^{68457311541300} is an apocalyptic number.

68457311541300 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 68457311541300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123081627271680).

68457311541300 is an abundant number, since it is smaller than the sum of its proper divisors (177705943002060).

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

68457311541300 is a wasteful number, since it uses less digits than its factorization.

68457311541300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123513 (or 123495 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 68457311541300 in words is "sixty-eight trillion, four hundred fifty-seven billion, three hundred eleven million, five hundred forty-one thousand, three hundred".