89707438144 has 63 divisors (see below), whose sum is σ = 184506169341. Its totient is φ = 43273493760.

The previous prime is 89707438123. The next prime is 89707438151. The reversal of 89707438144 is 44183470798.

It is a happy number.

The square root of 89707438144 is 299512.

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., 47040404544 + 42667033600 = 216888^2 + 206560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69486139 + ... + 69487429.

Almost surely, 2^89707438144 is an apocalyptic number.

89707438144 is the 299512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89707438144

89707438144 is an abundant number, since it is smaller than the sum of its proper divisors (94798731197).

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

89707438144 is an frugal number, since it uses more digits than its factorization.

89707438144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 89707438144 in words is "eighty-nine billion, seven hundred seven million, four hundred thirty-eight thousand, one hundred forty-four".