29978636624118 has 192 divisors, whose sum is σ = 80747818324992. Its totient is φ = 7826913826560.

The previous prime is 29978636624081. The next prime is 29978636624129. The reversal of 29978636624118 is 81142663687992.

29978636624118 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 8 + 6 + 366 + 241 + 18 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498857253 + ... + 498917343.

It is an arithmetic number, because the mean of its divisors is an integer number (420561553776).

Almost surely, 2^{29978636624118} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29978636624118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373909162496).

29978636624118 is an abundant number, since it is smaller than the sum of its proper divisors (50769181700874).

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

29978636624118 is a wasteful number, since it uses less digits than its factorization.

29978636624118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63179 (or 63176 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 29978636624118 in words is "twenty-nine trillion, nine hundred seventy-eight billion, six hundred thirty-six million, six hundred twenty-four thousand, one hundred eighteen".