88687222416 has 405 divisors, whose sum is σ = 284381232681. Its totient is φ = 25787443968.

The previous prime is 88687222387. The next prime is 88687222417. The reversal of 88687222416 is 61422278688.

The square root of 88687222416 is 297804.

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

88687222416 is a `hidden beast` number, since 88 + 68 + 72 + 22 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13119411600 + 75567810816 = 114540^2 + 274896^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (4128768) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (88687222417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1068520711 + ... + 1068520793.

Almost surely, 2^88687222416 is an apocalyptic number.

88687222416 is the 297804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88687222416

88687222416 is an abundant number, since it is smaller than the sum of its proper divisors (195694010265).

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

88687222416 is a wasteful number, since it uses less digits than its factorization.

88687222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 124 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The spelling of 88687222416 in words is "eighty-eight billion, six hundred eighty-seven million, two hundred twenty-two thousand, four hundred sixteen".