354540005144 has 64 divisors (see below), whose sum is σ = 724609670400. Its totient is φ = 161651193984.

The previous prime is 354540005119. The next prime is 354540005153. The reversal of 354540005144 is 441500045453.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3950579 + ... + 4039325.

It is an arithmetic number, because the mean of its divisors is an integer number (11322026100).

Almost surely, 2^354540005144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354540005144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362304835200).

354540005144 is an abundant number, since it is smaller than the sum of its proper divisors (370069665256).

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

354540005144 is a wasteful number, since it uses less digits than its factorization.

354540005144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89232 (or 89228 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 354540005144 in words is "three hundred fifty-four billion, five hundred forty million, five thousand, one hundred forty-four".