2225451564642 has 64 divisors (see below), whose sum is σ = 4729254359040. Its totient is φ = 696167136000.

The previous prime is 2225451564641. The next prime is 2225451564643. The reversal of 2225451564642 is 2464651545222.

It is an interprime number because it is at equal distance from previous prime (2225451564641) and next prime (2225451564643).

It is a junction number, because it is equal to n+sod(n) for n = 2225451564591 and 2225451564600.

It is not an unprimeable number, because it can be changed into a prime (2225451564641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23539767 + ... + 23634117.

It is an arithmetic number, because the mean of its divisors is an integer number (73894599360).

Almost surely, 2^{2225451564642} is an apocalyptic number.

2225451564642 is an abundant number, since it is smaller than the sum of its proper divisors (2503802794398).

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

2225451564642 is a wasteful number, since it uses less digits than its factorization.

2225451564642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96319.

The product of its digits is 4608000, while the sum is 48.

The spelling of 2225451564642 in words is "two trillion, two hundred twenty-five billion, four hundred fifty-one million, five hundred sixty-four thousand, six hundred forty-two".