88227414961 has 9 divisors (see below), whose sum is σ = 102634309611. Its totient is φ = 75621716352.

The previous prime is 88227414953. The next prime is 88227414967. The reversal of 88227414961 is 16941472288.

The square root of 88227414961 is 297031.

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

It can be written as a sum of positive squares in only one way, i.e., 50380047025 + 37847367936 = 224455^2 + 194544^2 .

It is not a de Polignac number, because 88227414961 - 2³ = 88227414953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 88227414899 and 88227414908.

It is not an unprimeable number, because it can be changed into a prime (88227414967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2058001 + ... + 2100433.

It is an arithmetic number, because the mean of its divisors is an integer number (11403812179).

Almost surely, 2^88227414961 is an apocalyptic number.

88227414961 is the 297031-st square number.

88227414961 is the 148516-th centered octagonal number.

It is an amenable number.

88227414961 is a deficient number, since it is larger than the sum of its proper divisors (14406894650).

88227414961 is an frugal number, since it uses more digits than its factorization.

88227414961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84880 (or 42440 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 52.

The spelling of 88227414961 in words is "eighty-eight billion, two hundred twenty-seven million, four hundred fourteen thousand, nine hundred sixty-one".