10293663744001 has 16 divisors (see below), whose sum is σ = 11267785758528. Its totient is φ = 9325955520000.

The previous prime is 10293663743941. The next prime is 10293663744037. The reversal of 10293663744001 is 10044736639201.

It is a cyclic number.

It is not a de Polignac number, because 10293663744001 - 2²⁵ = 10293630189569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10293663744101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7727661 + ... + 8961253.

It is an arithmetic number, because the mean of its divisors is an integer number (704236609908).

Almost surely, 2^{10293663744001} is an apocalyptic number.

10293663744001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10293663744001 is a deficient number, since it is larger than the sum of its proper divisors (974122014527).

10293663744001 is a wasteful number, since it uses less digits than its factorization.

10293663744001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236192.

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 10293663744001 in words is "ten trillion, two hundred ninety-three billion, six hundred sixty-three million, seven hundred forty-four thousand, one".