29394416704 has 63 divisors (see below), whose sum is σ = 60492123237. Its totient is φ = 14171205888.

The previous prime is 29394416693. The next prime is 29394416731. The reversal of 29394416704 is 40761449392.

The square root of 29394416704 is 171448.

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., 15413719104 + 13980697600 = 124152^2 + 118240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39775567 + ... + 39776305.

Almost surely, 2^29394416704 is an apocalyptic number.

29394416704 is the 171448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29394416704

29394416704 is an abundant number, since it is smaller than the sum of its proper divisors (31097706533).

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

29394416704 is an frugal number, since it uses more digits than its factorization.

29394416704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 29394416704 by its sum of digits (49), we get a square (1440326418496 = 1200136²).

The spelling of 29394416704 in words is "twenty-nine billion, three hundred ninety-four million, four hundred sixteen thousand, seven hundred four".