10721152849 has 9 divisors (see below), whose sum is σ = 11785659739. Its totient is φ = 9745467160.

The previous prime is 10721152847. The next prime is 10721152873. The reversal of 10721152849 is 94825112701.

The square root of 10721152849 is 103543.

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., 10702937025 + 18215824 = 103455^2 + 4268^2 .

It is not a de Polignac number, because 10721152849 - 2¹ = 10721152847 is a prime.

It is a super-2 number, since 2×10721152849² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10721152847) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1134267 + ... + 1143679.

Almost surely, 2^10721152849 is an apocalyptic number.

10721152849 is the 103543-rd square number.

10721152849 is the 51772-nd centered octagonal number.

It is an amenable number.

10721152849 is a deficient number, since it is larger than the sum of its proper divisors (1064506890).

10721152849 is an frugal number, since it uses more digits than its factorization.

10721152849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18848 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 10721152849 in words is "ten billion, seven hundred twenty-one million, one hundred fifty-two thousand, eight hundred forty-nine".