68866141099392 has 1440 divisors, whose sum is σ = 259654499893800. Its totient is φ = 18057001697280.

The previous prime is 68866141099351. The next prime is 68866141099433. The reversal of 68866141099392 is 29399014166886.

68866141099392 is a `hidden beast` number, since 6 + 8 + 8 + 6 + 6 + 141 + 0 + 99 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (68866141099351) and next prime (68866141099433).

It is a super-3 number, since 3×68866141099392³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 68866141099392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15368473792 + ... + 15368478272.

Almost surely, 2^{68866141099392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68866141099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129827249946900).

68866141099392 is an abundant number, since it is smaller than the sum of its proper divisors (190788358794408).

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

68866141099392 is a wasteful number, since it uses less digits than its factorization.

68866141099392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

It can be divided in two parts, 6886614 and 1099392, that added together give a triangular number (7986006 = T₃₉₉₆).

The spelling of 68866141099392 in words is "sixty-eight trillion, eight hundred sixty-six billion, one hundred forty-one million, ninety-nine thousand, three hundred ninety-two".