29978946261 has 32 divisors (see below), whose sum is σ = 48466252800. Its totient is φ = 18163272240.

The previous prime is 29978946227. The next prime is 29978946289. The reversal of 29978946261 is 16264987992.

29978946261 is a `hidden beast` number, since 2 + 9 + 97 + 89 + 462 + 6 + 1 = 666.

It is not a de Polignac number, because 29978946261 - 2⁷ = 29978946133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29978946161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1033210 + ... + 1061828.

It is an arithmetic number, because the mean of its divisors is an integer number (1514570400).

Almost surely, 2^29978946261 is an apocalyptic number.

It is an amenable number.

29978946261 is a deficient number, since it is larger than the sum of its proper divisors (18487306539).

29978946261 is a wasteful number, since it uses less digits than its factorization.

29978946261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32166 (or 32160 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 29978946261 in words is "twenty-nine billion, nine hundred seventy-eight million, nine hundred forty-six thousand, two hundred sixty-one".