88309414561 has 3 divisors (see below), whose sum is σ = 88309711731. Its totient is φ = 88309117392.

The previous prime is 88309414547. The next prime is 88309414577. The reversal of 88309414561 is 16541490388.

It is a happy number.

The square root of 88309414561 is 297169.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 88138328161 + 171086400 = 296881^2 + 13080^2 .

It is not a de Polignac number, because 88309414561 - 2²⁷ = 88175196833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88309414591) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 148585 + ... + 445753.

It is an arithmetic number, because the mean of its divisors is an integer number (29436570577).

Almost surely, 2^88309414561 is an apocalyptic number.

88309414561 is the 297169-th square number.

88309414561 is the 148585-th centered octagonal number.

It is an amenable number.

88309414561 is a deficient number, since it is larger than the sum of its proper divisors (297170).

88309414561 is an frugal number, since it uses more digits than its factorization.

88309414561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594338 (or 297169 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 88309414561 by its sum of digits (49), we get a square (4327161313489 = 2080183²).

The spelling of 88309414561 in words is "eighty-eight billion, three hundred nine million, four hundred fourteen thousand, five hundred sixty-one".