354224948224 has 99 divisors (see below), whose sum is σ = 824022918453. Its totient is φ = 151753555968.

The previous prime is 354224948221. The next prime is 354224948227. The reversal of 354224948224 is 422849422453.

The square root of 354224948224 is 595168.

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

It is an interprime number because it is at equal distance from previous prime (354224948221) and next prime (354224948227).

It can be written as a sum of positive squares in only one way, i.e., 230861030400 + 123363917824 = 480480^2 + 351232^2 .

It is a super-3 number, since 3×354224948224³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (354224948221) 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, 133316304 + ... + 133318960.

Almost surely, 2^354224948224 is an apocalyptic number.

354224948224 is the 595168-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354224948224

354224948224 is an abundant number, since it is smaller than the sum of its proper divisors (469797970229).

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

354224948224 is an frugal number, since it uses more digits than its factorization.

354224948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 2666 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 49.

Multiplying 354224948224 by its sum of digits (49), we get a square (17357022462976 = 4166176²).

354224948224 divided by its sum of digits (49) gives a square (7229080576 = 85024²).

The spelling of 354224948224 in words is "three hundred fifty-four billion, two hundred twenty-four million, nine hundred forty-eight thousand, two hundred twenty-four".