89408176144 has 135 divisors (see below), whose sum is σ = 206122605021. Its totient is φ = 37460223360.

The previous prime is 89408176127. The next prime is 89408176147. The reversal of 89408176144 is 44167180498.

The square root of 89408176144 is 299012.

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., 985206544 + 88422969600 = 31388^2 + 297360^2 .

It is a super-2 number, since 2×89408176144² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 89408176091 and 89408176100.

It is not an unprimeable number, because it can be changed into a prime (89408176147) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 493967734 + ... + 493967914.

Almost surely, 2^89408176144 is an apocalyptic number.

89408176144 is the 299012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89408176144

89408176144 is an abundant number, since it is smaller than the sum of its proper divisors (116714428877).

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

89408176144 is an equidigital number, since it uses as much as digits as its factorization.

89408176144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 249 counting only the distinct ones).

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

It can be divided in two parts, 894081 and 76144, that added together give a square (970225 = 985²).

The spelling of 89408176144 in words is "eighty-nine billion, four hundred eight million, one hundred seventy-six thousand, one hundred forty-four".