354214575648 has 72 divisors (see below), whose sum is σ = 1042032127500. Its totient is φ = 114000090624.

The previous prime is 354214575647. The next prime is 354214575661. The reversal of 354214575648 is 846575412453.

354214575648 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 1 + 4 + 575 + 64 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 319166242704 + 35048332944 = 564948^2 + 187212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×354214575648³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354214575594 and 354214575603.

It is not an unprimeable number, because it can be changed into a prime (354214575641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21197023 + ... + 21213726.

Almost surely, 2^354214575648 is an apocalyptic number.

It is an amenable number.

354214575648 is an abundant number, since it is smaller than the sum of its proper divisors (687817551852).

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

354214575648 is a wasteful number, since it uses less digits than its factorization.

354214575648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42410794 (or 42410783 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 354214575648 in words is "three hundred fifty-four billion, two hundred fourteen million, five hundred seventy-five thousand, six hundred forty-eight".