68517586374144 has 80 divisors (see below), whose sum is σ = 190471442654592. Its totient is φ = 21846186948608.

The previous prime is 68517586374131. The next prime is 68517586374163. The reversal of 68517586374144 is 44147368571586.

It is a super-3 number, since 3×68517586374144³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969699534 + ... + 969770189.

Almost surely, 2^{68517586374144} is an apocalyptic number.

68517586374144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

68517586374144 is an abundant number, since it is smaller than the sum of its proper divisors (121953856280448).

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

68517586374144 is a wasteful number, since it uses less digits than its factorization.

68517586374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939469767 (or 1939469751 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 69.

The spelling of 68517586374144 in words is "sixty-eight trillion, five hundred seventeen billion, five hundred eighty-six million, three hundred seventy-four thousand, one hundred forty-four".