10366796502001 has 15 divisors (see below), whose sum is σ = 10501535887053. Its totient is φ = 10233785368440.

The previous prime is 10366796501993. The next prime is 10366796502037. The reversal of 10366796502001 is 10020569766301.

The square root of 10366796502001 is 3219751.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1609221639601 + 8757574862400 = 1268551^2 + 2959320^2 .

It is not a de Polignac number, because 10366796502001 - 2³ = 10366796501993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10366796542001) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38253861496 + ... + 38253861766.

Almost surely, 2^{10366796502001} is an apocalyptic number.

10366796502001 is the 3219751-st square number.

10366796502001 is the 1609876-th centered octagonal number.

It is an amenable number.

10366796502001 is a deficient number, since it is larger than the sum of its proper divisors (134739385052).

10366796502001 is an frugal number, since it uses more digits than its factorization.

10366796502001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 10366796502001 in words is "ten trillion, three hundred sixty-six billion, seven hundred ninety-six million, five hundred two thousand, one".