87144317736 has 96 divisors (see below), whose sum is σ = 253552479840. Its totient is φ = 24886334592.

The previous prime is 87144317731. The next prime is 87144317801. The reversal of 87144317736 is 63771344178.

It is a super-2 number, since 2×87144317736² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (87144317731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2573910 + ... + 2607546.

It is an arithmetic number, because the mean of its divisors is an integer number (2641171665).

Almost surely, 2^87144317736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87144317736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126776239920).

87144317736 is an abundant number, since it is smaller than the sum of its proper divisors (166408162104).

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

87144317736 is a wasteful number, since it uses less digits than its factorization.

87144317736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35863 (or 35852 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 51.

The spelling of 87144317736 in words is "eighty-seven billion, one hundred forty-four million, three hundred seventeen thousand, seven hundred thirty-six".