6834500139168 has 576 divisors, whose sum is σ = 22823045481600. Its totient is φ = 1997070888960.

The previous prime is 6834500139163. The next prime is 6834500139191. The reversal of 6834500139168 is 8619310054386.

6834500139168 is a `hidden beast` number, since 6 + 8 + 34 + 500 + 13 + 91 + 6 + 8 = 666.

It is a super-2 number, since 2×6834500139168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6834500139163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178805563 + ... + 178843781.

It is an arithmetic number, because the mean of its divisors is an integer number (39623342850).

Almost surely, 2^{6834500139168} 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 6834500139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11411522740800).

6834500139168 is an abundant number, since it is smaller than the sum of its proper divisors (15988545342432).

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

6834500139168 is a wasteful number, since it uses less digits than its factorization.

6834500139168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38347 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6834500139168 in words is "six trillion, eight hundred thirty-four billion, five hundred million, one hundred thirty-nine thousand, one hundred sixty-eight".