354098304001 has 8 divisors (see below), whose sum is σ = 383443469864. Its totient is φ = 325054114560.

The previous prime is 354098303987. The next prime is 354098304013. The reversal of 354098304001 is 100403890453.

It can be written as a sum of positive squares in 4 ways, for example, as 65127550401 + 288970753600 = 255201^2 + 537560^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-354098304001 is a prime.

It is a super-2 number, since 2×354098304001² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (354098304071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 75241656 + ... + 75246361.

It is an arithmetic number, because the mean of its divisors is an integer number (47930433733).

Almost surely, 2^354098304001 is an apocalyptic number.

It is an amenable number.

354098304001 is a deficient number, since it is larger than the sum of its proper divisors (29345165863).

354098304001 is a wasteful number, since it uses less digits than its factorization.

354098304001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150488211.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 354098304001 in words is "three hundred fifty-four billion, ninety-eight million, three hundred four thousand, one".