29830997074176 has 567 divisors, whose sum is σ = 91557651617341. Its totient is φ = 9695919532032.

The previous prime is 29830997074157. The next prime is 29830997074211. The reversal of 29830997074176 is 67147079903892.

The square root of 29830997074176 is 5461776.

It is a perfect power (a square), and thus also a powerful number.

29830997074176 is a `hidden beast` number, since 2 + 98 + 30 + 9 + 97 + 0 + 7 + 417 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1962733752576 + 27868263321600 = 1400976^2 + 5279040^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 110895899770 + ... + 110895900038.

Almost surely, 2^{29830997074176} is an apocalyptic number.

29830997074176 is the 5461776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29830997074176

29830997074176 is an abundant number, since it is smaller than the sum of its proper divisors (61726654543165).

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

29830997074176 is an frugal number, since it uses more digits than its factorization.

29830997074176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 29830997074176 in words is "twenty-nine trillion, eight hundred thirty billion, nine hundred ninety-seven million, seventy-four thousand, one hundred seventy-six".