29993333764689 has 45 divisors (see below), whose sum is σ = 47288596658457. Its totient is φ = 18942566692536.

The previous prime is 29993333764649. The next prime is 29993333764697. The reversal of 29993333764689 is 98646733339992.

It is a happy number.

The square root of 29993333764689 is 5476617.

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

29993333764689 is a `hidden beast` number, since 2 + 9 + 9 + 93 + 33 + 37 + 6 + 468 + 9 = 666.

It is not a de Polignac number, because 29993333764689 - 2¹⁹ = 29993333240401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (29993333764649) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 936485494 + ... + 936517520.

Almost surely, 2^{29993333764689} is an apocalyptic number.

29993333764689 is the 5476617-th square number.

29993333764689 is the 2738309-th centered octagonal number.

It is an amenable number.

29993333764689 is a deficient number, since it is larger than the sum of its proper divisors (17295262893768).

29993333764689 is an frugal number, since it uses more digits than its factorization.

29993333764689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64104 (or 32049 counting only the distinct ones).

The product of its digits is 8571080448, while the sum is 81.

29993333764689 divided by its sum of digits (81) gives a square (370288071169 = 608513²).

The spelling of 29993333764689 in words is "twenty-nine trillion, nine hundred ninety-three billion, three hundred thirty-three million, seven hundred sixty-four thousand, six hundred eighty-nine".