11241724729 has 9 divisors (see below), whose sum is σ = 11315468943. Its totient is φ = 11168460072.

The previous prime is 11241724667. The next prime is 11241724787. The reversal of 11241724729 is 92742714211.

It is a happy number.

The square root of 11241724729 is 106027.

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., 10469996329 + 771728400 = 102323^2 + 27780^2 .

It is not a de Polignac number, because 11241724729 - 2⁷ = 11241724601 is a prime.

It is a super-2 number, since 2×11241724729² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11241724691 and 11241724700.

It is not an unprimeable number, because it can be changed into a prime (11241724229) 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, 24279952 + ... + 24280414.

It is an arithmetic number, because the mean of its divisors is an integer number (1257274327).

Almost surely, 2^11241724729 is an apocalyptic number.

11241724729 is the 106027-th square number.

11241724729 is the 53014-th centered octagonal number.

It is an amenable number.

11241724729 is a deficient number, since it is larger than the sum of its proper divisors (73744214).

11241724729 is an frugal number, since it uses more digits than its factorization.

11241724729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 692 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 11241724729 in words is "eleven billion, two hundred forty-one million, seven hundred twenty-four thousand, seven hundred twenty-nine".