8905449640000 has 315 divisors, whose sum is σ = 22673453990187. Its totient is φ = 3469311552000.

The previous prime is 8905449639997. The next prime is 8905449640037. The reversal of 8905449640000 is 469445098.

The square root of 8905449640000 is 2984200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 698187251776 + 8207262388224 = 835576^2 + 2864832^2 .

It is a super-2 number, since 2×8905449640000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 25664119827 + ... + 25664120173.

Almost surely, 2^{8905449640000} is an apocalyptic number.

8905449640000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8905449640000 is the 2984200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8905449640000

8905449640000 is an abundant number, since it is smaller than the sum of its proper divisors (13768004350187).

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

8905449640000 is an frugal number, since it uses more digits than its factorization.

8905449640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 8905449640000 by its sum of digits (49), we get a square (436367032360000 = 20889400²).

The spelling of 8905449640000 in words is "eight trillion, nine hundred five billion, four hundred forty-nine million, six hundred forty thousand".