225993835801440 has 384 divisors, whose sum is σ = 905435798400000. Its totient is φ = 51572279328768.

The previous prime is 225993835801429. The next prime is 225993835801441. The reversal of 225993835801440 is 44108538399522.

225993835801440 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 9 + 3 + 8 + 3 + 580 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225993835801441) 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 63 ways as a sum of consecutive naturals, for example, 12681936 + ... + 24755184.

It is an arithmetic number, because the mean of its divisors is an integer number (2357905725000).

Almost surely, 2^{225993835801440} is an apocalyptic number.

225993835801440 is a gapful number since it is divisible by the number (20) 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 225993835801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452717899200000).

225993835801440 is an abundant number, since it is smaller than the sum of its proper divisors (679441962598560).

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

225993835801440 is a wasteful number, since it uses less digits than its factorization.

225993835801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12073899 (or 12073885 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 225993835801440 in words is "two hundred twenty-five trillion, nine hundred ninety-three billion, eight hundred thirty-five million, eight hundred one thousand, four hundred forty".