335225632852224 has 405 divisors, whose sum is σ = 1019222925134953. Its totient is φ = 109587840620544.

The previous prime is 335225632852181. The next prime is 335225632852249. The reversal of 335225632852224 is 422258236522533.

The square root of 335225632852224 is 18309168.

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

335225632852224 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 2 + 563 + 2 + 8 + 52 + 2 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241663192070400 + 93562440781824 = 15545520^2 + 9672768^2 .

It is a super-3 number, since 3×335225632852224³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 139735568977 + ... + 139735571375.

Almost surely, 2^{335225632852224} is an apocalyptic number.

335225632852224 is the 18309168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335225632852224

335225632852224 is an abundant number, since it is smaller than the sum of its proper divisors (683997292282729).

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

335225632852224 is an frugal number, since it uses more digits than its factorization.

335225632852224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 2457 counting only the distinct ones).

The product of its digits is 41472000, while the sum is 54.

The spelling of 335225632852224 in words is "three hundred thirty-five trillion, two hundred twenty-five billion, six hundred thirty-two million, eight hundred fifty-two thousand, two hundred twenty-four".