13642006401 has 9 divisors (see below), whose sum is σ = 19705626499. Its totient is φ = 9094437336.

The previous prime is 13642006369. The next prime is 13642006447. The reversal of 13642006401 is 10460024631.

The square root of 13642006401 is 116799.

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

13642006401 is a `hidden beast` number, since 13 + 6 + 4 + 2 + 0 + 0 + 640 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17514225 + 13624492176 = 4185^2 + 116724^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13642006401 - 2⁵ = 13642006369 is a prime.

It is a super-2 number, since 2×13642006401² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13642006481) 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, 330931 + ... + 369863.

Almost surely, 2^13642006401 is an apocalyptic number.

13642006401 is the 116799-th square number.

13642006401 is the 58400-th centered octagonal number.

It is an amenable number.

13642006401 is a deficient number, since it is larger than the sum of its proper divisors (6063620098).

13642006401 is an frugal number, since it uses more digits than its factorization.

13642006401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77872 (or 38936 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13642006401 in words is "thirteen billion, six hundred forty-two million, six thousand, four hundred one".