87268249744 has 225 divisors, whose sum is σ = 202090615503. Its totient is φ = 36498743424.

The previous prime is 87268249729. The next prime is 87268249751. The reversal of 87268249744 is 44794286278.

The square root of 87268249744 is 295412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 43268992144 + 43999257600 = 208012^2 + 209760^2 .

It is a Duffinian number.

Its product of digits (43352064) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3794271717 + ... + 3794271739.

Almost surely, 2^87268249744 is an apocalyptic number.

87268249744 is the 295412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87268249744

87268249744 is an abundant number, since it is smaller than the sum of its proper divisors (114822365759).

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

87268249744 is an equidigital number, since it uses as much as digits as its factorization.

87268249744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 57 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 61.

The spelling of 87268249744 in words is "eighty-seven billion, two hundred sixty-eight million, two hundred forty-nine thousand, seven hundred forty-four".