29866356160144 has 135 divisors (see below), whose sum is σ = 68299863126921. Its totient is φ = 12614996499840.

The previous prime is 29866356160099. The next prime is 29866356160159. The reversal of 29866356160144 is 44106165366892.

The square root of 29866356160144 is 5465012.

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., 3559304838544 + 26307051321600 = 1886612^2 + 5129040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10864442482 + ... + 10864445230.

Almost surely, 2^{29866356160144} is an apocalyptic number.

29866356160144 is the 5465012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29866356160144

29866356160144 is an abundant number, since it is smaller than the sum of its proper divisors (38433506966777).

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

29866356160144 is an frugal number, since it uses more digits than its factorization.

29866356160144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 29866356160144 in words is "twenty-nine trillion, eight hundred sixty-six billion, three hundred fifty-six million, one hundred sixty thousand, one hundred forty-four".