601945421814 has 128 divisors (see below), whose sum is σ = 1496610984960. Its totient is φ = 177749510400.

The previous prime is 601945421813. The next prime is 601945421873. The reversal of 601945421814 is 418124549106.

601945421814 is a `hidden beast` number, since 6 + 0 + 1 + 94 + 542 + 1 + 8 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 601945421814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601945421813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21344367 + ... + 21372549.

It is an arithmetic number, because the mean of its divisors is an integer number (11692273320).

Almost surely, 2^601945421814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601945421814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748305492480).

601945421814 is an abundant number, since it is smaller than the sum of its proper divisors (894665563146).

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

601945421814 is a wasteful number, since it uses less digits than its factorization.

601945421814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29123 (or 29117 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 601945421814 in words is "six hundred one billion, nine hundred forty-five million, four hundred twenty-one thousand, eight hundred fourteen".