11146036290624 has 315 divisors, whose sum is σ = 33480015177631. Its totient is φ = 3666548920320.

The previous prime is 11146036290611. The next prime is 11146036290643. The reversal of 11146036290624 is 42609263064111.

The square root of 11146036290624 is 3338568.

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

11146036290624 is a `hidden beast` number, since 1 + 1 + 14 + 6 + 0 + 3 + 6 + 2 + 9 + 0 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3065888937024 + 8080147353600 = 1750968^2 + 2842560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11146036290624.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21393543484 + ... + 21393544004.

Almost surely, 2^{11146036290624} is an apocalyptic number.

11146036290624 is the 3338568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11146036290624

11146036290624 is an abundant number, since it is smaller than the sum of its proper divisors (22333978887007).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11146036290624 is an frugal number, since it uses more digits than its factorization.

11146036290624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11146036290624 in words is "eleven trillion, one hundred forty-six billion, thirty-six million, two hundred ninety thousand, six hundred twenty-four".