87388768454416 has 405 divisors, whose sum is σ = 205740862427583. Its totient is φ = 35915021176320.

The previous prime is 87388768454389. The next prime is 87388768454423. The reversal of 87388768454416 is 61445486788378.

The square root of 87388768454416 is 9348196.

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

87388768454416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40419128620816 + 46969639833600 = 6357604^2 + 6853440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 315482918470 + ... + 315482918746.

Almost surely, 2^{87388768454416} is an apocalyptic number.

87388768454416 is the 9348196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87388768454416

87388768454416 is an abundant number, since it is smaller than the sum of its proper divisors (118352093973167).

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

87388768454416 is a wasteful number, since it uses less digits than its factorization.

87388768454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 362 counting only the distinct ones).

The product of its digits is 6936330240, while the sum is 79.

The spelling of 87388768454416 in words is "eighty-seven trillion, three hundred eighty-eight billion, seven hundred sixty-eight million, four hundred fifty-four thousand, four hundred sixteen".