29812362048 has 252 divisors, whose sum is σ = 101093503680. Its totient is φ = 8372980224.

The previous prime is 29812362043. The next prime is 29812362049. The reversal of 29812362048 is 84026321892.

29812362048 is a `hidden beast` number, since 2 + 9 + 8 + 12 + 3 + 620 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 29812361994 and 29812362012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29812362043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1656265 + ... + 1674167.

Almost surely, 2^29812362048 is an apocalyptic number.

29812362048 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 29812362048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50546751840).

29812362048 is an abundant number, since it is smaller than the sum of its proper divisors (71281141632).

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

29812362048 is a wasteful number, since it uses less digits than its factorization.

29812362048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994 (or 17974 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 29812362048 in words is "twenty-nine billion, eight hundred twelve million, three hundred sixty-two thousand, forty-eight".