29206126404 has 243 divisors, whose sum is σ = 93292287543. Its totient is φ = 7678105344.

The previous prime is 29206126387. The next prime is 29206126423. The reversal of 29206126404 is 40462160292.

The square root of 29206126404 is 170898.

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

29206126404 is a `hidden beast` number, since 2 + 9 + 2 + 0 + 6 + 1 + 2 + 640 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23103392004 + 6102734400 = 151998^2 + 78120^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93310152 + ... + 93310464.

Almost surely, 2^29206126404 is an apocalyptic number.

29206126404 is the 170898-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29206126404

29206126404 is an abundant number, since it is smaller than the sum of its proper divisors (64086161139).

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

29206126404 is a wasteful number, since it uses less digits than its factorization.

29206126404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 29206126404 by its sum of digits (36), we get a square (1051420550544 = 1025388²).

29206126404 divided by its sum of digits (36) gives a square (811281289 = 28483²).

Adding to 29206126404 its reverse (40462160292), we get a palindrome (69668286696).

The spelling of 29206126404 in words is "twenty-nine billion, two hundred six million, one hundred twenty-six thousand, four hundred four".