140968222128 has 640 divisors, whose sum is σ = 461413324800. Its totient is φ = 40991588352.

The previous prime is 140968222111. The next prime is 140968222139. The reversal of 140968222128 is 821222869041.

140968222128 is a `hidden beast` number, since 1 + 409 + 6 + 8 + 22 + 212 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 730405200 + ... + 730405392.

It is an arithmetic number, because the mean of its divisors is an integer number (720958320).

Almost surely, 2^140968222128 is an apocalyptic number.

140968222128 is a gapful number since it is divisible by the number (18) 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 140968222128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230706662400).

140968222128 is an abundant number, since it is smaller than the sum of its proper divisors (320445102672).

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

140968222128 is a wasteful number, since it uses less digits than its factorization.

140968222128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 140968222128 in words is "one hundred forty billion, nine hundred sixty-eight million, two hundred twenty-two thousand, one hundred twenty-eight".