84771042759414 has 96 divisors (see below), whose sum is σ = 201519079632000. Its totient is φ = 25540655412480.

The previous prime is 84771042759397. The next prime is 84771042759419. The reversal of 84771042759414 is 41495724017748.

84771042759414 is a `hidden beast` number, since 8 + 4 + 7 + 7 + 1 + 0 + 4 + 27 + 594 + 14 = 666.

It is a super-2 number, since 2×84771042759414² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84771042759419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228380017 + ... + 228750899.

It is an arithmetic number, because the mean of its divisors is an integer number (2099157079500).

Almost surely, 2^{84771042759414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84771042759414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100759539816000).

84771042759414 is an abundant number, since it is smaller than the sum of its proper divisors (116748036872586).

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

84771042759414 is a wasteful number, since it uses less digits than its factorization.

84771042759414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377530 (or 377527 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 84771042759414 in words is "eighty-four trillion, seven hundred seventy-one billion, forty-two million, seven hundred fifty-nine thousand, four hundred fourteen".