11290614742801 has 9 divisors (see below), whose sum is σ = 11313344718459. Its totient is φ = 11267930363400.

The previous prime is 11290614742787. The next prime is 11290614742843. The reversal of 11290614742801 is 10824741609211.

The square root of 11290614742801 is 3360151.

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., 4485716438401 + 6804898304400 = 2117951^2 + 2608620^2 .

It is not a de Polignac number, because 11290614742801 - 2¹⁷ = 11290614611729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11290614742861) 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, 1817838586 + ... + 1817844796.

It is an arithmetic number, because the mean of its divisors is an integer number (1257038302051).

Almost surely, 2^{11290614742801} is an apocalyptic number.

11290614742801 is the 3360151-st square number.

11290614742801 is the 1680076-th centered octagonal number.

It is an amenable number.

11290614742801 is a deficient number, since it is larger than the sum of its proper divisors (22729975658).

11290614742801 is an frugal number, since it uses more digits than its factorization.

11290614742801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 11290614742801 in words is "eleven trillion, two hundred ninety billion, six hundred fourteen million, seven hundred forty-two thousand, eight hundred one".