842234338651104 has 288 divisors, whose sum is σ = 2786360070364416. Its totient is φ = 236343349186560.

The previous prime is 842234338651103. The next prime is 842234338651159. The reversal of 842234338651104 is 401156833432248.

842234338651104 is a `hidden beast` number, since 8 + 4 + 2 + 2 + 3 + 43 + 3 + 86 + 511 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842234338651103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36267859 + ... + 54770669.

It is an arithmetic number, because the mean of its divisors is an integer number (9674861355432).

Almost surely, 2^{842234338651104} is an apocalyptic number.

842234338651104 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 842234338651104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393180035182208).

842234338651104 is an abundant number, since it is smaller than the sum of its proper divisors (1944125731713312).

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

842234338651104 is a wasteful number, since it uses less digits than its factorization.

842234338651104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18503238 (or 18503227 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 842234338651104 in words is "eight hundred forty-two trillion, two hundred thirty-four billion, three hundred thirty-eight million, six hundred fifty-one thousand, one hundred four".