5842016114688 has 1152 divisors, whose sum is σ = 19937998080000. Its totient is φ = 1632210518016.

The previous prime is 5842016114677. The next prime is 5842016114717. The reversal of 5842016114688 is 8864116102485.

5842016114688 is a `hidden beast` number, since 58 + 420 + 161 + 1 + 4 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13307553573 + ... + 13307554011.

It is an arithmetic number, because the mean of its divisors is an integer number (17307290000).

Almost surely, 2^{5842016114688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5842016114688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968999040000).

5842016114688 is an abundant number, since it is smaller than the sum of its proper divisors (14095981965312).

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

5842016114688 is a wasteful number, since it uses less digits than its factorization.

5842016114688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 5842016114688 in words is "five trillion, eight hundred forty-two billion, sixteen million, one hundred fourteen thousand, six hundred eighty-eight".