29660249682 has 90 divisors (see below), whose sum is σ = 77351710293. Its totient is φ = 8469973008.

The previous prime is 29660249659. The next prime is 29660249683. The reversal of 29660249682 is 28694206692.

It is a happy number.

29660249682 is a `hidden beast` number, since 2 + 96 + 60 + 2 + 496 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28656056961 + 1004192721 = 169281^2 + 31689^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=121779.

It is a super-3 number, since 3×29660249682³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (29660249683) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15343188 + ... + 15345120.

Almost surely, 2^29660249682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29660249682

29660249682 is an abundant number, since it is smaller than the sum of its proper divisors (47691460611).

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

29660249682 is an frugal number, since it uses more digits than its factorization.

29660249682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

Subtracting from 29660249682 its reverse (28694206692), we obtain a triangular number (966042990 = T₄₃₉₅₅).

The spelling of 29660249682 in words is "twenty-nine billion, six hundred sixty million, two hundred forty-nine thousand, six hundred eighty-two".