225126411744 has 96 divisors (see below), whose sum is σ = 636509863584. Its totient is φ = 69259345920.

The previous prime is 225126411707. The next prime is 225126411749. The reversal of 225126411744 is 447114621522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×225126411744² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225126411749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16258264 + ... + 16272104.

It is an arithmetic number, because the mean of its divisors is an integer number (6630311079).

Almost surely, 2^225126411744 is an apocalyptic number.

225126411744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225126411744 is an abundant number, since it is smaller than the sum of its proper divisors (411383451840).

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

225126411744 is a wasteful number, since it uses less digits than its factorization.

225126411744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26900 (or 26892 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The spelling of 225126411744 in words is "two hundred twenty-five billion, one hundred twenty-six million, four hundred eleven thousand, seven hundred forty-four".