225340635615354 has 144 divisors (see below), whose sum is σ = 592660164882240. Its totient is φ = 61582083171840.

The previous prime is 225340635615317. The next prime is 225340635615373. The reversal of 225340635615354 is 453516536043522.

225340635615354 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 40 + 6 + 3 + 5 + 61 + 535 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 225340635615354.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 856120189 + ... + 856383359.

It is an arithmetic number, because the mean of its divisors is an integer number (4115695589460).

Almost surely, 2^{225340635615354} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225340635615354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296330082441120).

225340635615354 is an abundant number, since it is smaller than the sum of its proper divisors (367319529266886).

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

225340635615354 is a wasteful number, since it uses less digits than its factorization.

225340635615354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305425 (or 305415 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 225340635615354 in words is "two hundred twenty-five trillion, three hundred forty billion, six hundred thirty-five million, six hundred fifteen thousand, three hundred fifty-four".