29620261664448 has 112 divisors (see below), whose sum is σ = 96455723938560. Its totient is φ = 7811937137664.

The previous prime is 29620261664447. The next prime is 29620261664501. The reversal of 29620261664448 is 84446616202692.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 29620261664391 and 29620261664400.

It is not an unprimeable number, because it can be changed into a prime (29620261664447) 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 15 ways as a sum of consecutive naturals, for example, 847631958 + ... + 847666901.

It is an arithmetic number, because the mean of its divisors is an integer number (861211820880).

Almost surely, 2^{29620261664448} is an apocalyptic number.

29620261664448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29620261664448 is an abundant number, since it is smaller than the sum of its proper divisors (66835462274112).

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

29620261664448 is a wasteful number, since it uses less digits than its factorization.

29620261664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695298894 (or 1695298884 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 29620261664448 in words is "twenty-nine trillion, six hundred twenty billion, two hundred sixty-one million, six hundred sixty-four thousand, four hundred forty-eight".