841914864 has 240 divisors, whose sum is σ = 2904099840. Its totient is φ = 232606080.

The previous prime is 841914797. The next prime is 841914883. The reversal of 841914864 is 468419148.

841914864 is a `hidden beast` number, since 84 + 1 + 91 + 486 + 4 = 666.

841914864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655567 + ... + 656849.

It is an arithmetic number, because the mean of its divisors is an integer number (12100416).

Almost surely, 2^841914864 is an apocalyptic number.

841914864 is a gapful number since it is divisible by the number (84) 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 841914864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452049920).

841914864 is an abundant number, since it is smaller than the sum of its proper divisors (2062184976).

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

841914864 is a wasteful number, since it uses less digits than its factorization.

841914864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

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

The square root of 841914864 is about 29015.7692298515. The cubic root of 841914864 is about 944.2552156352.

The spelling of 841914864 in words is "eight hundred forty-one million, nine hundred fourteen thousand, eight hundred sixty-four".