225264680012736 has 2240 divisors, whose sum is σ = 895075418603520. Its totient is φ = 54342430433280.

The previous prime is 225264680012699. The next prime is 225264680012741. The reversal of 225264680012736 is 637210086462522.

225264680012736 is a `hidden beast` number, since 2 + 2 + 5 + 26 + 468 + 0 + 0 + 127 + 36 = 666.

It is a super-2 number, since 2×225264680012736² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 189776477935 + ... + 189776479121.

It is an arithmetic number, because the mean of its divisors is an integer number (399587240448).

Almost surely, 2^{225264680012736} is an apocalyptic number.

225264680012736 is a gapful number since it is divisible by the number (26) 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 225264680012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447537709301760).

225264680012736 is an abundant number, since it is smaller than the sum of its proper divisors (669810738590784).

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

225264680012736 is a wasteful number, since it uses less digits than its factorization.

225264680012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 225264680012736 in words is "two hundred twenty-five trillion, two hundred sixty-four billion, six hundred eighty million, twelve thousand, seven hundred thirty-six".