11048322321 has 63 divisors (see below), whose sum is σ = 17673806721. Its totient is φ = 6902008704.

The previous prime is 11048322319. The next prime is 11048322349. The reversal of 11048322321 is 12322384011.

11048322321 = 1³ + 2³ + ... + 458³.

The square root of 11048322321 is 105111.

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

11048322321 is a `hidden beast` number, since 1 + 10 + 4 + 8 + 322 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5859137025 + 5189185296 = 76545^2 + 72036^2 .

It is not a de Polignac number, because 11048322321 - 2¹ = 11048322319 is a prime.

It is a super-2 number, since 2×11048322321² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11048322371) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 48245835 + ... + 48246063.

Almost surely, 2^11048322321 is an apocalyptic number.

11048322321 is the 105111-st square number.

11048322321 is the 52556-th centered octagonal number.

It is an amenable number.

11048322321 is a deficient number, since it is larger than the sum of its proper divisors (6625484400).

11048322321 is an frugal number, since it uses more digits than its factorization.

11048322321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 11048322321 by its product of nonzero digits (2304), we get a square (25455334627584 = 5045328²).

The spelling of 11048322321 in words is "eleven billion, forty-eight million, three hundred twenty-two thousand, three hundred twenty-one".