29778334096 has 45 divisors (see below), whose sum is σ = 67126091211. Its totient is φ = 12760072416.

The previous prime is 29778334073. The next prime is 29778334109. The reversal of 29778334096 is 69043387792.

The square root of 29778334096 is 172564.

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

It is a super-2 number, since 2×29778334096² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 29778334096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4828711 + ... + 4834873.

Almost surely, 2^29778334096 is an apocalyptic number.

29778334096 is the 172564-th square number.

It is an amenable number.

29778334096 is an abundant number, since it is smaller than the sum of its proper divisors (37347757115).

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

29778334096 is an frugal number, since it uses more digits than its factorization.

29778334096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 29778334096 in words is "twenty-nine billion, seven hundred seventy-eight million, three hundred thirty-four thousand, ninety-six".