942121648314 has 128 divisors (see below), whose sum is σ = 2627495055360. Its totient is φ = 243086184000.

The previous prime is 942121648301. The next prime is 942121648387. The reversal of 942121648314 is 413846121249.

942121648314 is a `hidden beast` number, since 9 + 42 + 121 + 6 + 483 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 942121648314.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122409 + ... + 1378124.

It is an arithmetic number, because the mean of its divisors is an integer number (20527305120).

Almost surely, 2^942121648314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942121648314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313747527680).

942121648314 is an abundant number, since it is smaller than the sum of its proper divisors (1685373407046).

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

942121648314 is a wasteful number, since it uses less digits than its factorization.

942121648314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500713 (or 1500707 counting only the distinct ones).

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

The spelling of 942121648314 in words is "nine hundred forty-two billion, one hundred twenty-one million, six hundred forty-eight thousand, three hundred fourteen".