89371700401 has 9 divisors (see below), whose sum is σ = 90414076651. Its totient is φ = 88341216304.

The previous prime is 89371700393. The next prime is 89371700419. The reversal of 89371700401 is 10400717398.

The square root of 89371700401 is 298951.

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., 17161262001 + 72210438400 = 131001^2 + 268720^2 .

It is not a de Polignac number, because 89371700401 - 2³ = 89371700393 is a prime.

It is a super-2 number, since 2×89371700401² (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 (89371700491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26604960 + ... + 26608318.

Almost surely, 2^89371700401 is an apocalyptic number.

89371700401 is the 298951-st square number.

89371700401 is the 149476-th centered octagonal number.

It is an amenable number.

89371700401 is a deficient number, since it is larger than the sum of its proper divisors (1042376250).

89371700401 is an frugal number, since it uses more digits than its factorization.

89371700401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The spelling of 89371700401 in words is "eighty-nine billion, three hundred seventy-one million, seven hundred thousand, four hundred one".