89406877381441 has 9 divisors (see below), whose sum is σ = 94360356595521. Its totient is φ = 84701082056724.

The previous prime is 89406877381391. The next prime is 89406877381447. The reversal of 89406877381441 is 14418377860498.

The square root of 89406877381441 is 9455521.

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

It is not a de Polignac number, because 89406877381441 - 2¹⁵ = 89406877348673 is a prime.

It is a super-2 number, since 2×89406877381441² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89406877381447) 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 8 ways as a sum of consecutive naturals, for example, 179406070 + ... + 179903728.

It is an arithmetic number, because the mean of its divisors is an integer number (10484484066169).

Almost surely, 2^{89406877381441} is an apocalyptic number.

89406877381441 is the 9455521-st square number.

89406877381441 is the 4727761-st centered octagonal number.

It is an amenable number.

89406877381441 is a deficient number, since it is larger than the sum of its proper divisors (4953479214080).

89406877381441 is an frugal number, since it uses more digits than its factorization.

89406877381441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995356 (or 497678 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 70.

The spelling of 89406877381441 in words is "eighty-nine trillion, four hundred six billion, eight hundred seventy-seven million, three hundred eighty-one thousand, four hundred forty-one".