29914746048 has 504 divisors, whose sum is σ = 102694709520. Its totient is φ = 8256614400.

The previous prime is 29914746047. The next prime is 29914746089. The reversal of 29914746048 is 84064741992.

29914746048 is a `hidden beast` number, since 29 + 9 + 1 + 4 + 7 + 4 + 604 + 8 = 666.

It is a super-2 number, since 2×29914746048² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29914745985 and 29914746003.

It is not an unprimeable number, because it can be changed into a prime (29914746047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 964991793 + ... + 964991823.

Almost surely, 2^29914746048 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 29914746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51347354760).

29914746048 is an abundant number, since it is smaller than the sum of its proper divisors (72779963472).

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

29914746048 is a wasteful number, since it uses less digits than its factorization.

29914746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 29914746048 in words is "twenty-nine billion, nine hundred fourteen million, seven hundred forty-six thousand, forty-eight".