10929959990401 has 3 divisors (see below), whose sum is σ = 10929963296451. Its totient is φ = 10929956684352.

The previous prime is 10929959990393. The next prime is 10929959990429. The reversal of 10929959990401 is 10409995992901.

The square root of 10929959990401 is 3306049.

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., 10073964950401 + 855995040000 = 3173951^2 + 925200^2 .

It is not a de Polignac number, because 10929959990401 - 2³ = 10929959990393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10929959990431) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1653025 + ... + 4959073.

It is an arithmetic number, because the mean of its divisors is an integer number (3643321098817).

Almost surely, 2^{10929959990401} is an apocalyptic number.

10929959990401 is the 3306049-th square number.

10929959990401 is the 1653025-th centered octagonal number.

It is an amenable number.

10929959990401 is a deficient number, since it is larger than the sum of its proper divisors (3306050).

10929959990401 is an frugal number, since it uses more digits than its factorization.

10929959990401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612098 (or 3306049 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 67.

The spelling of 10929959990401 in words is "ten trillion, nine hundred twenty-nine billion, nine hundred fifty-nine million, nine hundred ninety thousand, four hundred one".