9627014124049 has 9 divisors (see below), whose sum is σ = 11198796797307. Its totient is φ = 8251707775584.

The previous prime is 9627014124037. The next prime is 9627014124061. The reversal of 9627014124049 is 9404214107269.

The square root of 9627014124049 is 3102743.

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

It is an interprime number because it is at equal distance from previous prime (9627014124037) and next prime (9627014124061).

It can be written as a sum of positive squares in only one way, i.e., 9538257797649 + 88756326400 = 3088407^2 + 297920^2 .

It is not a de Polignac number, because 9627014124049 - 2³⁷ = 9489575170577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 9627014123993 and 9627014124011.

It is not an unprimeable number, because it can be changed into a prime (9027014124049) 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, 21497577 + ... + 21940825.

Almost surely, 2^{9627014124049} is an apocalyptic number.

9627014124049 is the 3102743-rd square number.

9627014124049 is the 1551372-nd centered octagonal number.

It is an amenable number.

9627014124049 is a deficient number, since it is larger than the sum of its proper divisors (1571782673258).

9627014124049 is an frugal number, since it uses more digits than its factorization.

9627014124049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886512 (or 443256 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 9627014124049 by its sum of digits (49), we get a square (471723692078401 = 21719201²).

9627014124049 divided by its sum of digits (49) gives a square (196469676001 = 443249²).

The spelling of 9627014124049 in words is "nine trillion, six hundred twenty-seven billion, fourteen million, one hundred twenty-four thousand, forty-nine".