354248814417 has 32 divisors (see below), whose sum is σ = 498286080000. Its totient is φ = 223244006400.

The previous prime is 354248814389. The next prime is 354248814427. The reversal of 354248814417 is 714418842453.

It is not a de Polignac number, because 354248814417 - 2¹⁰ = 354248813393 is a prime.

It is a super-3 number, since 3×354248814417³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354248814417.

It is not an unprimeable number, because it can be changed into a prime (354248814427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65611084 + ... + 65616482.

It is an arithmetic number, because the mean of its divisors is an integer number (15571440000).

Almost surely, 2^354248814417 is an apocalyptic number.

It is an amenable number.

354248814417 is a deficient number, since it is larger than the sum of its proper divisors (144037265583).

354248814417 is a wasteful number, since it uses less digits than its factorization.

354248814417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741.

The product of its digits is 3440640, while the sum is 51.

The spelling of 354248814417 in words is "three hundred fifty-four billion, two hundred forty-eight million, eight hundred fourteen thousand, four hundred seventeen".