348436168938025 has 27 divisors (see below), whose sum is σ = 502602338728119. Its totient is φ = 238927210705680.

The previous prime is 348436168938019. The next prime is 348436168938037. The reversal of 348436168938025 is 520839861634843.

The square root of 348436168938025 is 18666445.

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

It can be written as a sum of positive squares in only one way, i.e., 125437020817689 + 222999148120336 = 11199867^2 + 14933156^2 .

It is not a de Polignac number, because 348436168938025 - 2³⁵ = 348401809199657 is a prime.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 653058912 + ... + 653592238.

Almost surely, 2^{348436168938025} is an apocalyptic number.

348436168938025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

348436168938025 is the 18666445-th square number.

348436168938025 is the 9333223-rd centered octagonal number.

It is an amenable number.

348436168938025 is a deficient number, since it is larger than the sum of its proper divisors (154166169790094).

348436168938025 is an frugal number, since it uses more digits than its factorization.

348436168938025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066678 (or 533339 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 70.

The spelling of 348436168938025 in words is "three hundred forty-eight trillion, four hundred thirty-six billion, one hundred sixty-eight million, nine hundred thirty-eight thousand, twenty-five".