4698615481641 has 27 divisors (see below), whose sum is σ = 6956855079447. Its totient is φ = 3055836659040.

The previous prime is 4698615481639. The next prime is 4698615481783. The reversal of 4698615481641 is 1461845168964.

The square root of 4698615481641 is 2167629.

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

4698615481641 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 615 + 4 + 8 + 1 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 226405624041 + 4472209857600 = 475821^2 + 2114760^2 .

It is not a de Polignac number, because 4698615481641 - 2¹ = 4698615481639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4698615481621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 266609556 + ... + 266627178.

Almost surely, 2^{4698615481641} is an apocalyptic number.

4698615481641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4698615481641 is the 2167629-th square number.

4698615481641 is the 1083815-th centered octagonal number.

It is an amenable number.

4698615481641 is a deficient number, since it is larger than the sum of its proper divisors (2258239597806).

4698615481641 is an frugal number, since it uses more digits than its factorization.

4698615481641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35334 (or 17667 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 4698615481641 in words is "four trillion, six hundred ninety-eight billion, six hundred fifteen million, four hundred eighty-one thousand, six hundred forty-one".