87181371144 has 120 divisors (see below), whose sum is σ = 284056186590. Its totient is φ = 24908954112.

The previous prime is 87181371127. The next prime is 87181371149. The reversal of 87181371144 is 44117318178.

It can be written as a sum of positive squares in only one way, i.e., 63821916900 + 23359454244 = 252630^2 + 152838^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87181371144.

It is not an unprimeable number, because it can be changed into a prime (87181371149) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1341097 + ... + 1404600.

Almost surely, 2^87181371144 is an apocalyptic number.

87181371144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

87181371144 is an abundant number, since it is smaller than the sum of its proper divisors (196874815446).

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

87181371144 is a wasteful number, since it uses less digits than its factorization.

87181371144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2745729 (or 2745709 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The spelling of 87181371144 in words is "eighty-seven billion, one hundred eighty-one million, three hundred seventy-one thousand, one hundred forty-four".