88065904081 has 9 divisors (see below), whose sum is σ = 88646287899. Its totient is φ = 87489301344.

The previous prime is 88065904057. The next prime is 88065904097. The reversal of 88065904081 is 18040956088.

The square root of 88065904081 is 296759.

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., 44628675025 + 43437229056 = 211255^2 + 208416^2 .

It is not a de Polignac number, because 88065904081 - 2¹⁷ = 88065773009 is a prime.

It is a super-2 number, since 2×88065904081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88065904021) 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, 49557865 + ... + 49559641.

Almost surely, 2^88065904081 is an apocalyptic number.

88065904081 is the 296759-th square number.

88065904081 is the 148380-th centered octagonal number.

It is an amenable number.

88065904081 is a deficient number, since it is larger than the sum of its proper divisors (580383818).

88065904081 is an frugal number, since it uses more digits than its factorization.

88065904081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 88065904081 by its sum of digits (49), we get a square (4315229299969 = 2077313²).

The spelling of 88065904081 in words is "eighty-eight billion, sixty-five million, nine hundred four thousand, eighty-one".