10270403649 has 81 divisors (see below), whose sum is σ = 16963238019. Its totient is φ = 5983290720.

The previous prime is 10270403639. The next prime is 10270403699. The reversal of 10270403649 is 94630407201.

The square root of 10270403649 is 101343.

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

10270403649 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 4 + 0 + 3 + 649 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9190098225 + 1080305424 = 95865^2 + 32868^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10270403649 is a prime.

It is a super-2 number, since 2×10270403649² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10270403639) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 123739762 + ... + 123739844.

Almost surely, 2^10270403649 is an apocalyptic number.

10270403649 is the 101343-rd square number.

10270403649 is the 50672-nd centered octagonal number.

It is an amenable number.

10270403649 is a deficient number, since it is larger than the sum of its proper divisors (6692834370).

10270403649 is an equidigital number, since it uses as much as digits as its factorization.

10270403649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 10270403649 by its sum of digits (36), we get a square (369734531364 = 608058²).

The spelling of 10270403649 in words is "ten billion, two hundred seventy million, four hundred three thousand, six hundred forty-nine".