10614883286401 has 3 divisors (see below), whose sum is σ = 10614886544451. Its totient is φ = 10614880028352.

The previous prime is 10614883286389. The next prime is 10614883286407. The reversal of 10614883286401 is 10468238841601.

The square root of 10614883286401 is 3258049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 9699493588801 + 915389697600 = 3114401^2 + 956760^2 .

It is not a de Polignac number, because 10614883286401 - 2⁵ = 10614883286369 is a prime.

It is a super-3 number, since 3×10614883286401³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10614883286407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1629025 + ... + 4887073.

It is an arithmetic number, because the mean of its divisors is an integer number (3538295514817).

Almost surely, 2^{10614883286401} is an apocalyptic number.

10614883286401 is the 3258049-th square number.

10614883286401 is the 1629025-th centered octagonal number.

It is an amenable number.

10614883286401 is a deficient number, since it is larger than the sum of its proper divisors (3258050).

10614883286401 is an frugal number, since it uses more digits than its factorization.

10614883286401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516098 (or 3258049 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 10614883286401 in words is "ten trillion, six hundred fourteen billion, eight hundred eighty-three million, two hundred eighty-six thousand, four hundred one".