2225641453464 has 192 divisors, whose sum is σ = 6799416825600. Its totient is φ = 601089216000.

The previous prime is 2225641453433. The next prime is 2225641453499. The reversal of 2225641453464 is 4643541465222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433789 + ... + 2153939.

It is an arithmetic number, because the mean of its divisors is an integer number (35413629300).

Almost surely, 2^{2225641453464} is an apocalyptic number.

2225641453464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225641453464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399708412800).

2225641453464 is an abundant number, since it is smaller than the sum of its proper divisors (4573775372136).

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

2225641453464 is a wasteful number, since it uses less digits than its factorization.

2225641453464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720226 (or 1720209 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 2225641453464 in words is "two trillion, two hundred twenty-five billion, six hundred forty-one million, four hundred fifty-three thousand, four hundred sixty-four".