84137687581728 has 192 divisors, whose sum is σ = 243554753401344. Its totient is φ = 25220792064000.

The previous prime is 84137687581691. The next prime is 84137687581747. The reversal of 84137687581728 is 82718578673148.

It is a super-2 number, since 2×84137687581728² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84137687581728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42327583 + ... + 44270753.

It is an arithmetic number, because the mean of its divisors is an integer number (1268514340632).

Almost surely, 2^{84137687581728} is an apocalyptic number.

84137687581728 is a gapful number since it is divisible by the number (88) 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 84137687581728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777376700672).

84137687581728 is an abundant number, since it is smaller than the sum of its proper divisors (159417065819616).

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

84137687581728 is a wasteful number, since it uses less digits than its factorization.

84137687581728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943639 (or 1943631 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 75.

The spelling of 84137687581728 in words is "eighty-four trillion, one hundred thirty-seven billion, six hundred eighty-seven million, five hundred eighty-one thousand, seven hundred twenty-eight".