1815349327801 has 27 divisors (see below), whose sum is σ = 1879112979471. Its totient is φ = 1753731015984.

The previous prime is 1815349327783. The next prime is 1815349327837. The reversal of 1815349327801 is 1087239435181.

The square root of 1815349327801 is 1347349.

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

It can be written as a sum of positive squares in only one way, i.e., 1265289772201 + 550059555600 = 1124851^2 + 741660^2 .

It is not a de Polignac number, because 1815349327801 - 2³⁵ = 1780989589433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1815349327871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6902468796 + ... + 6902469058.

Almost surely, 2^{1815349327801} is an apocalyptic number.

1815349327801 is the 1347349-th square number.

1815349327801 is the 673675-th centered octagonal number.

It is an amenable number.

1815349327801 is a deficient number, since it is larger than the sum of its proper divisors (63763651670).

1815349327801 is an frugal number, since it uses more digits than its factorization.

1815349327801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 1815349327801 in words is "one trillion, eight hundred fifteen billion, three hundred forty-nine million, three hundred twenty-seven thousand, eight hundred one".