14911514340849 has 135 divisors (see below), whose sum is σ = 25465471349409. Its totient is φ = 8407660343040.

The previous prime is 14911514340791. The next prime is 14911514340907. The reversal of 14911514340849 is 94804341511941.

The square root of 14911514340849 is 3861543.

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

14911514340849 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 1 + 514 + 3 + 40 + 84 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (14911514340791) and next prime (14911514340907).

It can be written as a sum of positive squares in 4 ways, for example, as 3018534436449 + 11892979904400 = 1737393^2 + 3448620^2 .

It is not a de Polignac number, because 14911514340849 - 2¹¹ = 14911514338801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14911514340795 and 14911514340804.

It is not an unprimeable number, because it can be changed into a prime (14911514380849) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61873503369 + ... + 61873503609.

Almost surely, 2^{14911514340849} is an apocalyptic number.

14911514340849 is the 3861543-rd square number.

14911514340849 is the 1930772-nd centered octagonal number.

It is an amenable number.

14911514340849 is a deficient number, since it is larger than the sum of its proper divisors (10553957008560).

14911514340849 is an frugal number, since it uses more digits than its factorization.

14911514340849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

It can be divided in two parts, 1491151 and 4340849, that added together give a cube (5832000 = 180³).

The spelling of 14911514340849 in words is "fourteen trillion, nine hundred eleven billion, five hundred fourteen million, three hundred forty thousand, eight hundred forty-nine".