87841914174 has 144 divisors (see below), whose sum is σ = 234615846816. Its totient is φ = 23601715200.

The previous prime is 87841914137. The next prime is 87841914221. The reversal of 87841914174 is 47141914878.

87841914174 is a `hidden beast` number, since 87 + 8 + 419 + 141 + 7 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87841914174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32400679 + ... + 32403389.

It is an arithmetic number, because the mean of its divisors is an integer number (1629276714).

Almost surely, 2^87841914174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87841914174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117307923408).

87841914174 is an abundant number, since it is smaller than the sum of its proper divisors (146773932642).

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

87841914174 is a wasteful number, since it uses less digits than its factorization.

87841914174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4901 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 87841914174 in words is "eighty-seven billion, eight hundred forty-one million, nine hundred fourteen thousand, one hundred seventy-four".