34492211222049 has 81 divisors (see below), whose sum is σ = 61569778083411. Its totient is φ = 18549305308800.

The previous prime is 34492211222047. The next prime is 34492211222059. The reversal of 34492211222049 is 94022211229443.

The square root of 34492211222049 is 5873007.

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

34492211222049 is a `hidden beast` number, since 3 + 4 + 492 + 2 + 112 + 2 + 2 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26853797664225 + 7638413557824 = 5182065^2 + 2763768^2 .

It is not a de Polignac number, because 34492211222049 - 2¹ = 34492211222047 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34492211221995 and 34492211222013.

It is not an unprimeable number, because it can be changed into a prime (34492211222047) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2096655274 + ... + 2096671724.

Almost surely, 2^{34492211222049} is an apocalyptic number.

34492211222049 is the 5873007-th square number.

34492211222049 is the 2936504-th centered octagonal number.

It is an amenable number.

34492211222049 is a deficient number, since it is larger than the sum of its proper divisors (27077566861362).

34492211222049 is an frugal number, since it uses more digits than its factorization.

34492211222049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32956 (or 16478 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34492211222049 in words is "thirty-four trillion, four hundred ninety-two billion, two hundred eleven million, two hundred twenty-two thousand, forty-nine".