1107648897601 has 9 divisors (see below), whose sum is σ = 1116573954849. Its totient is φ = 1098794644164.

The previous prime is 1107648897557. The next prime is 1107648897659. The reversal of 1107648897601 is 1067988467011.

The square root of 1107648897601 is 1052449.

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

It is not a de Polignac number, because 1107648897601 - 2²⁹ = 1107112026689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1107648897661) 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, 133656880 + ... + 133665166.

It is an arithmetic number, because the mean of its divisors is an integer number (124063772761).

Almost surely, 2^{1107648897601} is an apocalyptic number.

1107648897601 is the 1052449-th square number.

1107648897601 is the 526225-th centered octagonal number.

It is an amenable number.

1107648897601 is a deficient number, since it is larger than the sum of its proper divisors (8925057248).

1107648897601 is an frugal number, since it uses more digits than its factorization.

1107648897601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16828 (or 8414 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 58.

The spelling of 1107648897601 in words is "one trillion, one hundred seven billion, six hundred forty-eight million, eight hundred ninety-seven thousand, six hundred one".