8902638745441 has 27 divisors (see below), whose sum is σ = 10501737494931. Its totient is φ = 7525012277664.

The previous prime is 8902638745433. The next prime is 8902638745459. The reversal of 8902638745441 is 1445478362098.

The square root of 8902638745441 is 2983729.

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

8902638745441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5053571440225 + 3849067305216 = 2248015^2 + 1961904^2 .

It is not a de Polignac number, because 8902638745441 - 2³ = 8902638745433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8902638745441.

It is not an unprimeable number, because it can be changed into a prime (8902638745421) 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, 1524682600 + ... + 1524688438.

It is an arithmetic number, because the mean of its divisors is an integer number (388953240553).

It is a 1-persistent number, because it is pandigital, but 2⋅8902638745441 = 17805277490882 is not.

Almost surely, 2^{8902638745441} is an apocalyptic number.

8902638745441 is the 2983729-th square number.

8902638745441 is the 1491865-th centered octagonal number.

It is an amenable number.

8902638745441 is a deficient number, since it is larger than the sum of its proper divisors (1599098749490).

8902638745441 is an frugal number, since it uses more digits than its factorization.

8902638745441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11838 (or 5919 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 8902638745441 in words is "eight trillion, nine hundred two billion, six hundred thirty-eight million, seven hundred forty-five thousand, four hundred forty-one".