68692412017152 has 1920 divisors, whose sum is σ = 268443664220160. Its totient is φ = 16363793940480.

The previous prime is 68692412017139. The next prime is 68692412017183. The reversal of 68692412017152 is 25171021429686.

68692412017152 is a `hidden beast` number, since 6 + 8 + 6 + 9 + 2 + 412 + 0 + 171 + 52 = 666.

It is a super-2 number, since 2×68692412017152² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95538820249 + ... + 95538820967.

It is an arithmetic number, because the mean of its divisors is an integer number (139814408448).

Almost surely, 2^{68692412017152} 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 68692412017152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134221832110080).

68692412017152 is an abundant number, since it is smaller than the sum of its proper divisors (199751252203008).

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

68692412017152 is a wasteful number, since it uses less digits than its factorization.

68692412017152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 68692412017152 in words is "sixty-eight trillion, six hundred ninety-two billion, four hundred twelve million, seventeen thousand, one hundred fifty-two".