725167022716417 has 16 divisors (see below), whose sum is σ = 784220106447360. Its totient is φ = 667937943479808.

The previous prime is 725167022716403. The next prime is 725167022716429. The reversal of 725167022716417 is 714617220761527.

It is a cyclic number.

It is not a de Polignac number, because 725167022716417 - 2²³ = 725167014327809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (725167022716447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23910117 + ... + 44966962.

It is an arithmetic number, because the mean of its divisors is an integer number (49013756652960).

Almost surely, 2^{725167022716417} is an apocalyptic number.

It is an amenable number.

725167022716417 is a deficient number, since it is larger than the sum of its proper divisors (59053083730943).

725167022716417 is a wasteful number, since it uses less digits than its factorization.

725167022716417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68890320.

The product of its (nonzero) digits is 13829760, while the sum is 58.

The spelling of 725167022716417 in words is "seven hundred twenty-five trillion, one hundred sixty-seven billion, twenty-two million, seven hundred sixteen thousand, four hundred seventeen".