225035054734500 has 288 divisors, whose sum is σ = 712104748992000. Its totient is φ = 59824159200000.

The previous prime is 225035054734499. The next prime is 225035054734559. The reversal of 225035054734500 is 5437450530522.

225035054734500 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 3 + 50 + 547 + 3 + 4 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1911050625 + ... + 1911168375.

It is an arithmetic number, because the mean of its divisors is an integer number (2472585934000).

Almost surely, 2^{225035054734500} is an apocalyptic number.

225035054734500 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 225035054734500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356052374496000).

225035054734500 is an abundant number, since it is smaller than the sum of its proper divisors (487069694257500).

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

225035054734500 is a wasteful number, since it uses less digits than its factorization.

225035054734500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119084 (or 119069 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 45.

The spelling of 225035054734500 in words is "two hundred twenty-five trillion, thirty-five billion, fifty-four million, seven hundred thirty-four thousand, five hundred".