10700454249 has 45 divisors (see below), whose sum is σ = 16408185859. Its totient is φ = 6719657280.

The previous prime is 10700454209. The next prime is 10700454251. The reversal of 10700454249 is 94245400701.

It is a happy number.

The square root of 10700454249 is 103443.

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

10700454249 is a `hidden beast` number, since 1 + 0 + 70 + 0 + 4 + 542 + 49 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9938694249 + 761760000 = 99693^2 + 27600^2 .

It is not a de Polignac number, because 10700454249 - 2³³ = 2110519657 is a prime.

It is a super-2 number, since 2×10700454249² (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 (10700454209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 260986669 + ... + 260986709.

Almost surely, 2^10700454249 is an apocalyptic number.

10700454249 is the 103443-rd square number.

10700454249 is the 51722-nd centered octagonal number.

It is an amenable number.

10700454249 is a deficient number, since it is larger than the sum of its proper divisors (5707731610).

10700454249 is an frugal number, since it uses more digits than its factorization.

10700454249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 10700454249 by its sum of digits (36), we get a square (385216352964 = 620658²).

The spelling of 10700454249 in words is "ten billion, seven hundred million, four hundred fifty-four thousand, two hundred forty-nine".