354217254264 has 48 divisors (see below), whose sum is σ = 960213121920. Its totient is φ = 117964759680.

The previous prime is 354217254257. The next prime is 354217254289. The reversal of 354217254264 is 462452712453.

354217254264 is a `hidden beast` number, since 3 + 5 + 4 + 217 + 2 + 5 + 426 + 4 = 666.

It is a super-3 number, since 3×354217254264³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2163352 + ... + 2321319.

It is an arithmetic number, because the mean of its divisors is an integer number (20004440040).

Almost surely, 2^354217254264 is an apocalyptic number.

It is an amenable number.

354217254264 is an abundant number, since it is smaller than the sum of its proper divisors (605995867656).

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

354217254264 is a wasteful number, since it uses less digits than its factorization.

354217254264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4485780 (or 4485773 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The spelling of 354217254264 in words is "three hundred fifty-four billion, two hundred seventeen million, two hundred fifty-four thousand, two hundred sixty-four".