34163977225 has 27 divisors (see below), whose sum is σ = 49289127381. Its totient is φ = 23422291200.

The previous prime is 34163977187. The next prime is 34163977229. The reversal of 34163977225 is 52277936143.

The square root of 34163977225 is 184835.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9498646521 + 24665330704 = 97461^2 + 157052^2 .

It is not a de Polignac number, because 34163977225 - 2²¹ = 34161880073 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34163977229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6466585 + ... + 6471865.

Almost surely, 2^34163977225 is an apocalyptic number.

34163977225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34163977225 is the 184835-th square number.

34163977225 is the 92418-th centered octagonal number.

It is an amenable number.

34163977225 is a deficient number, since it is larger than the sum of its proper divisors (15125150156).

34163977225 is an frugal number, since it uses more digits than its factorization.

34163977225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10586 (or 5293 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 49.

Multiplying 34163977225 by its sum of digits (49), we get a square (1674034884025 = 1293845²).

34163977225 divided by its sum of digits (49) gives a square (697224025 = 26405²).

The spelling of 34163977225 in words is "thirty-four billion, one hundred sixty-three million, nine hundred seventy-seven thousand, two hundred twenty-five".