1072038664449 has 27 divisors (see below), whose sum is σ = 1570940509827. Its totient is φ = 704481397200.

The previous prime is 1072038664439. The next prime is 1072038664481. The reversal of 1072038664449 is 9444668302701.

The square root of 1072038664449 is 1035393.

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

1072038664449 is a `hidden beast` number, since 107 + 2 + 0 + 38 + 6 + 64 + 449 = 666.

It can be written as a sum of positive squares in only one way, i.e., 985637940849 + 86400723600 = 992793^2 + 293940^2 .

It is not a de Polignac number, because 1072038664449 - 2²⁵ = 1072005110017 is a prime.

It is a super-2 number, since 2×1072038664449² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1072038664395 and 1072038664404.

It is not an unprimeable number, because it can be changed into a prime (1072038664429) 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, 220536279 + ... + 220541139.

Almost surely, 2^{1072038664449} is an apocalyptic number.

1072038664449 is the 1035393-rd square number.

1072038664449 is the 517697-th centered octagonal number.

It is an amenable number.

1072038664449 is a deficient number, since it is larger than the sum of its proper divisors (498901845378).

1072038664449 is an frugal number, since it uses more digits than its factorization.

1072038664449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9870 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 1072038664449 in words is "one trillion, seventy-two billion, thirty-eight million, six hundred sixty-four thousand, four hundred forty-nine".