84138164160 has 112 divisors (see below), whose sum is σ = 268495308576. Its totient is φ = 22322900992.

The previous prime is 84138164147. The next prime is 84138164183. The reversal of 84138164160 is 6146183148.

It is a super-4 number, since 4×84138164160⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 33327 + ... + 411566.

Almost surely, 2^84138164160 is an apocalyptic number.

84138164160 is a gapful number since it is divisible by the number (80) 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 84138164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134247654288).

84138164160 is an abundant number, since it is smaller than the sum of its proper divisors (184357144416).

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

84138164160 is a wasteful number, since it uses less digits than its factorization.

84138164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445110 (or 445100 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 84138164160 in words is "eighty-four billion, one hundred thirty-eight million, one hundred sixty-four thousand, one hundred sixty".