7046534829961 has 9 divisors (see below), whose sum is σ = 7745396826279. Its totient is φ = 6405914209200.

The previous prime is 7046534829953. The next prime is 7046534829973. The reversal of 7046534829961 is 1699284356407.

The square root of 7046534829961 is 2654531.

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

It can be written as a sum of positive squares in only one way, i.e., 454992069961 + 6591542760000 = 674531^2 + 2567400^2 .

It is not a de Polignac number, because 7046534829961 - 2³ = 7046534829953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7046534829893 and 7046534829902.

It is not an unprimeable number, because it can be changed into a prime (7046534829911) 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, 29079181 + ... + 29320501.

It is a 1-persistent number, because it is pandigital, but 2⋅7046534829961 = 14093069659922 is not.

Almost surely, 2^{7046534829961} is an apocalyptic number.

7046534829961 is the 2654531-st square number.

7046534829961 is the 1327266-th centered octagonal number.

It is an amenable number.

7046534829961 is a deficient number, since it is larger than the sum of its proper divisors (698861996318).

7046534829961 is an frugal number, since it uses more digits than its factorization.

7046534829961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482664 (or 241332 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 7046534829961 by its sum of digits (64), we get a square (450978229117504 = 21236248²).

The spelling of 7046534829961 in words is "seven trillion, forty-six billion, five hundred thirty-four million, eight hundred twenty-nine thousand, nine hundred sixty-one".