29431413648 has 240 divisors, whose sum is σ = 101518807936. Its totient is φ = 7751116800.

The previous prime is 29431413647. The next prime is 29431413689. The reversal of 29431413648 is 84631413492.

29431413648 is a `hidden beast` number, since 294 + 314 + 1 + 3 + 6 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (29431413643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13771236 + ... + 13773372.

Almost surely, 2^29431413648 is an apocalyptic number.

29431413648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29431413648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50759403968).

29431413648 is an abundant number, since it is smaller than the sum of its proper divisors (72087394288).

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

29431413648 is a wasteful number, since it uses less digits than its factorization.

29431413648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3213 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 29431413648 in words is "twenty-nine billion, four hundred thirty-one million, four hundred thirteen thousand, six hundred forty-eight".