89720924684769 has 189 divisors, whose sum is σ = 163656765742113. Its totient is φ = 49017502782864.

The previous prime is 89720924684749. The next prime is 89720924684803. The reversal of 89720924684769 is 96748642902798.

The square root of 89720924684769 is 9472113.

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

89720924684769 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 0 + 92 + 468 + 4 + 7 + 69 = 666.

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 89720924684769 - 2³¹ = 89718777201121 is a prime.

It is a super-2 number, since 2×89720924684769² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89720924684749) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 41175274122 + ... + 41175276300.

Almost surely, 2^{89720924684769} is an apocalyptic number.

89720924684769 is the 9472113-rd square number.

89720924684769 is the 4736057-th centered octagonal number.

It is an amenable number.

89720924684769 is a deficient number, since it is larger than the sum of its proper divisors (73935841057344).

89720924684769 is an frugal number, since it uses more digits than its factorization.

89720924684769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

89720924684769 divided by its sum of digits (81) gives a square (1107665736849 = 1052457²).

The spelling of 89720924684769 in words is "eighty-nine trillion, seven hundred twenty billion, nine hundred twenty-four million, six hundred eighty-four thousand, seven hundred sixty-nine".