354733404025 has 405 divisors, whose sum is σ = 648807570663. Its totient is φ = 192115123200.

The previous prime is 354733404007. The next prime is 354733404143. The reversal of 354733404025 is 520404337453.

The square root of 354733404025 is 595595.

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

It can be written as a sum of positive squares in 13 ways, for example, as 258345508729 + 96387895296 = 508277^2 + 310464^2 .

It is not a de Polignac number, because 354733404025 - 2¹³ = 354733395833 is a prime.

It is a super-3 number, since 3×354733404025³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 20866670817 + ... + 20866670833.

Almost surely, 2^354733404025 is an apocalyptic number.

354733404025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

354733404025 is the 595595-th square number.

354733404025 is the 297798-th centered octagonal number.

It is an amenable number.

354733404025 is a deficient number, since it is larger than the sum of its proper divisors (294074166638).

354733404025 is a wasteful number, since it uses less digits than its factorization.

354733404025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 40.

The spelling of 354733404025 in words is "three hundred fifty-four billion, seven hundred thirty-three million, four hundred four thousand, twenty-five".