354705568140 has 768 divisors, whose sum is σ = 1336884756480. Its totient is φ = 68020715520.

The previous prime is 354705568127. The next prime is 354705568153. The reversal of 354705568140 is 41865507453.

It is an interprime number because it is at equal distance from previous prime (354705568127) and next prime (354705568153).

It is a self number, because there is not a number n which added to its sum of digits gives 354705568140.

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 255 ways as a sum of consecutive naturals, for example, 1318607926 + ... + 1318608194.

It is an arithmetic number, because the mean of its divisors is an integer number (1740735360).

Almost surely, 2^354705568140 is an apocalyptic number.

354705568140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354705568140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668442378240).

354705568140 is an abundant number, since it is smaller than the sum of its proper divisors (982179188340).

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

354705568140 is a wasteful number, since it uses less digits than its factorization.

354705568140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 354705568140 in words is "three hundred fifty-four billion, seven hundred five million, five hundred sixty-eight thousand, one hundred forty".