2225143345464 has 192 divisors, whose sum is σ = 6833872500000. Its totient is φ = 648407172096.

The previous prime is 2225143345457. The next prime is 2225143345519. The reversal of 2225143345464 is 4645433415222.

2225143345464 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 143 + 3 + 45 + 464 = 666.

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, 57405162 + ... + 57443910.

Almost surely, 2^{2225143345464} is an apocalyptic number.

2225143345464 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 2225143345464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416936250000).

2225143345464 is an abundant number, since it is smaller than the sum of its proper divisors (4608729154536).

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

2225143345464 is a wasteful number, since it uses less digits than its factorization.

2225143345464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42022 (or 42015 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 2225143345464 in words is "two trillion, two hundred twenty-five billion, one hundred forty-three million, three hundred forty-five thousand, four hundred sixty-four".