29381649696 has 360 divisors, whose sum is σ = 101927590380. Its totient is φ = 8277147648.

The previous prime is 29381649677. The next prime is 29381649709. The reversal of 29381649696 is 69694618392.

29381649696 is a `hidden beast` number, since 29 + 38 + 1 + 6 + 496 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28083056400 + 1298593296 = 167580^2 + 36036^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9270000 + ... + 9273168.

Almost surely, 2^29381649696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29381649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50963795190).

29381649696 is an abundant number, since it is smaller than the sum of its proper divisors (72545940684).

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

29381649696 is a wasteful number, since it uses less digits than its factorization.

29381649696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3254 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 29381649696 in words is "twenty-nine billion, three hundred eighty-one million, six hundred forty-nine thousand, six hundred ninety-six".