354995514225 has 243 divisors, whose sum is σ = 735285607329. Its totient is φ = 163586966400.

The previous prime is 354995514197. The next prime is 354995514239. The reversal of 354995514225 is 522415599453.

The square root of 354995514225 is 595815.

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

354995514225 is a `hidden beast` number, since 3 + 5 + 49 + 9 + 551 + 42 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42934740849 + 312060773376 = 207207^2 + 558624^2 .

It is not a de Polignac number, because 354995514225 - 2¹⁷ = 354995383153 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2261117847 + ... + 2261118003.

Almost surely, 2^354995514225 is an apocalyptic number.

354995514225 is the 595815-th square number.

354995514225 is the 297908-th centered octagonal number.

It is an amenable number.

354995514225 is an abundant number, since it is smaller than the sum of its proper divisors (380290093104).

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

354995514225 is a wasteful number, since it uses less digits than its factorization.

354995514225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 54.

The spelling of 354995514225 in words is "three hundred fifty-four billion, nine hundred ninety-five million, five hundred fourteen thousand, two hundred twenty-five".