2213763007365 has 512 divisors, whose sum is σ = 5158895616000. Its totient is φ = 893973749760.

The previous prime is 2213763007361. The next prime is 2213763007387. The reversal of 2213763007365 is 5637003673122.

2213763007365 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 7 + 630 + 0 + 7 + 3 + 6 + 5 = 666.

It is not a de Polignac number, because 2213763007365 - 2² = 2213763007361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2213763007365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213763007361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1810108144 + ... + 1810109366.

It is an arithmetic number, because the mean of its divisors is an integer number (10075968000).

Almost surely, 2^{2213763007365} is an apocalyptic number.

It is an amenable number.

2213763007365 is an abundant number, since it is smaller than the sum of its proper divisors (2945132608635).

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

2213763007365 is a wasteful number, since it uses less digits than its factorization.

2213763007365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 2213763007365 in words is "two trillion, two hundred thirteen billion, seven hundred sixty-three million, seven thousand, three hundred sixty-five".