2249664018048 has 96 divisors (see below), whose sum is σ = 6696871704900. Its totient is φ = 724029788160.

The previous prime is 2249664017983. The next prime is 2249664018053. The reversal of 2249664018048 is 8408104669422.

It is a happy number.

2249664018048 is a `hidden beast` number, since 22 + 49 + 66 + 401 + 80 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2240434188864 + 9229829184 = 1496808^2 + 96072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2249664017985 and 2249664018003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33636133 + ... + 33702948.

Almost surely, 2^{2249664018048} is an apocalyptic number.

It is an amenable number.

2249664018048 is an abundant number, since it is smaller than the sum of its proper divisors (4447207686852).

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

2249664018048 is a wasteful number, since it uses less digits than its factorization.

2249664018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67339130 (or 67339115 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 2249664018048 in words is "two trillion, two hundred forty-nine billion, six hundred sixty-four million, eighteen thousand, forty-eight".