2213777250945 has 160 divisors (see below), whose sum is σ = 4503395191680. Its totient is φ = 1031396198400.

The previous prime is 2213777250931. The next prime is 2213777250959. The reversal of 2213777250945 is 5490527773122.

2213777250945 is a `hidden beast` number, since 2 + 21 + 3 + 7 + 7 + 72 + 509 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (2213777250931) and next prime (2213777250959).

It is not a de Polignac number, because 2213777250945 - 2²⁸ = 2213508815489 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2213777250891 and 2213777250900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 97722870 + ... + 97745520.

It is an arithmetic number, because the mean of its divisors is an integer number (28146219948).

Almost surely, 2^{2213777250945} is an apocalyptic number.

It is an amenable number.

2213777250945 is an abundant number, since it is smaller than the sum of its proper divisors (2289617940735).

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

2213777250945 is a wasteful number, since it uses less digits than its factorization.

2213777250945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23677 (or 23668 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 2213777250945 in words is "two trillion, two hundred thirteen billion, seven hundred seventy-seven million, two hundred fifty thousand, nine hundred forty-five".