354348753408 has 400 divisors, whose sum is σ = 1160578515096. Its totient is φ = 106964582400.

The previous prime is 354348753371. The next prime is 354348753431. The reversal of 354348753408 is 804357843453.

It is a happy number.

354348753408 is a `hidden beast` number, since 3 + 543 + 4 + 8 + 7 + 53 + 40 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 261767303424 + 92581449984 = 511632^2 + 304272^2 .

It is a super-2 number, since 2×354348753408² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28568008 + ... + 28580408.

Almost surely, 2^354348753408 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 354348753408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580289257548).

354348753408 is an abundant number, since it is smaller than the sum of its proper divisors (806229761688).

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

354348753408 is a wasteful number, since it uses less digits than its factorization.

354348753408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12497 (or 12472 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 354348753408 in words is "three hundred fifty-four billion, three hundred forty-eight million, seven hundred fifty-three thousand, four hundred eight".