354243511961760 has 384 divisors, whose sum is σ = 1137425407211520. Its totient is φ = 92661619838976.

The previous prime is 354243511961747. The next prime is 354243511961777. The reversal of 354243511961760 is 67169115342453.

It is a super-3 number, since 3×354243511961760³ (a number of 45 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 354243511961760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2251903269 + ... + 2252060571.

It is an arithmetic number, because the mean of its divisors is an integer number (2962045331280).

Almost surely, 2^{354243511961760} is an apocalyptic number.

354243511961760 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 354243511961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568712703605760).

354243511961760 is an abundant number, since it is smaller than the sum of its proper divisors (783181895249760).

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

354243511961760 is a wasteful number, since it uses less digits than its factorization.

354243511961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157860 (or 157852 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 354243511961760 in words is "three hundred fifty-four trillion, two hundred forty-three billion, five hundred eleven million, nine hundred sixty-one thousand, seven hundred sixty".