4617432261225 has 96 divisors (see below), whose sum is σ = 10264409821440. Its totient is φ = 1986659896320.

The previous prime is 4617432261193. The next prime is 4617432261289. The reversal of 4617432261225 is 5221622347164.

4617432261225 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 4 + 3 + 2 + 2 + 612 + 25 = 666.

It is not a de Polignac number, because 4617432261225 - 2⁵ = 4617432261193 is a prime.

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

It is a Curzon number.

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, 28661862 + ... + 28822511.

It is an arithmetic number, because the mean of its divisors is an integer number (106920935640).

Almost surely, 2^{4617432261225} is an apocalyptic number.

4617432261225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4617432261225 is an abundant number, since it is smaller than the sum of its proper divisors (5646977560215).

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

4617432261225 is a wasteful number, since it uses less digits than its factorization.

4617432261225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57484416 (or 57484405 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 4617432261225 in words is "four trillion, six hundred seventeen billion, four hundred thirty-two million, two hundred sixty-one thousand, two hundred twenty-five".