29457886689 has 81 divisors (see below), whose sum is σ = 54479408529. Its totient is φ = 15282202320.

The previous prime is 29457886609. The next prime is 29457886769. The reversal of 29457886689 is 98668875492.

The square root of 29457886689 is 171633.

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

It is an interprime number because it is at equal distance from previous prime (29457886609) and next prime (29457886769).

It is not a de Polignac number, because 29457886689 - 2⁷ = 29457886561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29457886609) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39646852 + ... + 39647594.

Almost surely, 2^29457886689 is an apocalyptic number.

29457886689 is the 171633-rd square number.

29457886689 is the 85817-th centered octagonal number.

It is an amenable number.

29457886689 is a deficient number, since it is larger than the sum of its proper divisors (25021521840).

29457886689 is an equidigital number, since it uses as much as digits as its factorization.

29457886689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 764 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 29457886689 in words is "twenty-nine billion, four hundred fifty-seven million, eight hundred eighty-six thousand, six hundred eighty-nine".