140803306814016 has 896 divisors, whose sum is σ = 547063779225600. Its totient is φ = 34381243514880.

The previous prime is 140803306814003. The next prime is 140803306814039. The reversal of 140803306814016 is 610418603308041.

140803306814016 is a `hidden beast` number, since 1 + 40 + 80 + 330 + 68 + 140 + 1 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1983696415 + ... + 1983767393.

It is an arithmetic number, because the mean of its divisors is an integer number (610562253600).

Almost surely, 2^{140803306814016} is an apocalyptic number.

140803306814016 is a gapful number since it is divisible by the number (16) 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 140803306814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273531889612800).

140803306814016 is an abundant number, since it is smaller than the sum of its proper divisors (406260472411584).

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

140803306814016 is a wasteful number, since it uses less digits than its factorization.

140803306814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71912 (or 71896 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 140803306814016 in words is "one hundred forty trillion, eight hundred three billion, three hundred six million, eight hundred fourteen thousand, sixteen".