68032422144 has 162 divisors, whose sum is σ = 201608340570. Its totient is φ = 22063546368.

The previous prime is 68032422119. The next prime is 68032422173. The reversal of 68032422144 is 44122423086.

68032422144 is a `hidden beast` number, since 68 + 0 + 32 + 422 + 144 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17806233600 + 50226188544 = 133440^2 + 224112^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68032422099 and 68032422108.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3143392 + ... + 3164960.

Almost surely, 2^68032422144 is an apocalyptic number.

68032422144 is a gapful number since it is divisible by the number (64) 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 68032422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100804170285).

68032422144 is an abundant number, since it is smaller than the sum of its proper divisors (133575918426).

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

68032422144 is a wasteful number, since it uses less digits than its factorization.

68032422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21665 (or 21611 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 68032422144 in words is "sixty-eight billion, thirty-two million, four hundred twenty-two thousand, one hundred forty-four".