29982076197381 has 192 divisors, whose sum is σ = 56609459712000. Its totient is φ = 15147520214400.

The previous prime is 29982076197379. The next prime is 29982076197397. The reversal of 29982076197381 is 18379167028992.

29982076197381 is a `hidden beast` number, since 2 + 9 + 98 + 2 + 0 + 76 + 1 + 97 + 381 = 666.

It is not a de Polignac number, because 29982076197381 - 2¹ = 29982076197379 is a prime.

It is a super-2 number, since 2×29982076197381² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29982076197371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4235351200 + ... + 4235358278.

It is an arithmetic number, because the mean of its divisors is an integer number (294840936000).

Almost surely, 2^{29982076197381} is an apocalyptic number.

29982076197381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

29982076197381 is a deficient number, since it is larger than the sum of its proper divisors (26627383514619).

29982076197381 is a wasteful number, since it uses less digits than its factorization.

29982076197381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10525 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 29982076197381 in words is "twenty-nine trillion, nine hundred eighty-two billion, seventy-six million, one hundred ninety-seven thousand, three hundred eighty-one".