354797731201 has 9 divisors (see below), whose sum is σ = 358337776449. Its totient is φ = 351292336836.

The previous prime is 354797731187. The next prime is 354797731237. The reversal of 354797731201 is 102137797453.

It is a happy number.

The square root of 354797731201 is 595649.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 354797731201 - 2³⁷ = 217358777729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354797731261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61348956 + ... + 61354738.

Almost surely, 2^354797731201 is an apocalyptic number.

354797731201 is the 595649-th square number.

354797731201 is the 297825-th centered octagonal number.

It is an amenable number.

354797731201 is a deficient number, since it is larger than the sum of its proper divisors (3540045248).

354797731201 is an frugal number, since it uses more digits than its factorization.

354797731201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11772 (or 5886 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 49.

Multiplying 354797731201 by its sum of digits (49), we get a square (17385088828849 = 4169543²).

The spelling of 354797731201 in words is "three hundred fifty-four billion, seven hundred ninety-seven million, seven hundred thirty-one thousand, two hundred one".