29431461136 has 135 divisors (see below), whose sum is σ = 73043063877. Its totient is φ = 11446216320.

The previous prime is 29431461107. The next prime is 29431461167. The reversal of 29431461136 is 63116413492.

The square root of 29431461136 is 171556.

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., 2582672400 + 26848788736 = 50820^2 + 163856^2 .

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, 52838970 + ... + 52839526.

Almost surely, 2^29431461136 is an apocalyptic number.

29431461136 is the 171556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29431461136

29431461136 is an abundant number, since it is smaller than the sum of its proper divisors (43611602741).

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

29431461136 is an equidigital number, since it uses as much as digits as its factorization.

29431461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 577 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 29431461136 in words is "twenty-nine billion, four hundred thirty-one million, four hundred sixty-one thousand, one hundred thirty-six".