87188345244 has 480 divisors, whose sum is σ = 322158144000. Its totient is φ = 19802672640.

The previous prime is 87188345207. The next prime is 87188345249. The reversal of 87188345244 is 44254388178.

87188345244 is a `hidden beast` number, since 8 + 7 + 1 + 88 + 34 + 524 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87188345249) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6155082 + ... + 6169230.

It is an arithmetic number, because the mean of its divisors is an integer number (671162800).

Almost surely, 2^87188345244 is an apocalyptic number.

87188345244 is a gapful number since it is divisible by the number (84) 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 87188345244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161079072000).

87188345244 is an abundant number, since it is smaller than the sum of its proper divisors (234969798756).

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

87188345244 is a wasteful number, since it uses less digits than its factorization.

87188345244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215 (or 14204 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 87188345244 in words is "eighty-seven billion, one hundred eighty-eight million, three hundred forty-five thousand, two hundred forty-four".