29994451004961 has 27 divisors (see below), whose sum is σ = 43389800043057. Its totient is φ = 19966583992680.

The previous prime is 29994451004951. The next prime is 29994451005019. The reversal of 29994451004961 is 16940015449992.

The square root of 29994451004961 is 5476719.

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

29994451004961 is a `hidden beast` number, since 2 + 9 + 9 + 94 + 4 + 51 + 0 + 0 + 496 + 1 = 666.

It is not a de Polignac number, because 29994451004961 - 2²¹ = 29994448907809 is a prime.

It is a super-3 number, since 3×29994451004961³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (29994451004911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20225522526 + ... + 20225524008.

Almost surely, 2^{29994451004961} is an apocalyptic number.

29994451004961 is the 5476719-th square number.

29994451004961 is the 2738360-th centered octagonal number.

It is an amenable number.

29994451004961 is a deficient number, since it is larger than the sum of its proper divisors (13395349038096).

29994451004961 is an frugal number, since it uses more digits than its factorization.

29994451004961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 29994451004961 in words is "twenty-nine trillion, nine hundred ninety-four billion, four hundred fifty-one million, four thousand, nine hundred sixty-one".