354240718848 has 504 divisors, whose sum is σ = 1129494865590. Its totient is φ = 110998978560.

The previous prime is 354240718823. The next prime is 354240718921. The reversal of 354240718848 is 848817042453.

354240718848 is a `hidden beast` number, since 3 + 54 + 2 + 407 + 188 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 338109686784 + 16131032064 = 581472^2 + 127008^2 .

It is a super-3 number, since 3×354240718848³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 354240718794 and 354240718803.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 431474278 + ... + 431475098.

Almost surely, 2^354240718848 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 354240718848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564747432795).

354240718848 is an abundant number, since it is smaller than the sum of its proper divisors (775254146742).

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

354240718848 is an frugal number, since it uses more digits than its factorization.

354240718848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 354240718848 in words is "three hundred fifty-four billion, two hundred forty million, seven hundred eighteen thousand, eight hundred forty-eight".