29545254648 has 144 divisors (see below), whose sum is σ = 99025589520. Its totient is φ = 7792132608.

The previous prime is 29545254587. The next prime is 29545254649. The reversal of 29545254648 is 84645254592.

29545254648 is a `hidden beast` number, since 2 + 9 + 5 + 4 + 52 + 546 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29545254594 and 29545254603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29545254649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88261 + ... + 258612.

It is an arithmetic number, because the mean of its divisors is an integer number (687677705).

Almost surely, 2^29545254648 is an apocalyptic number.

29545254648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29545254648 is an abundant number, since it is smaller than the sum of its proper divisors (69480334872).

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

29545254648 is a wasteful number, since it uses less digits than its factorization.

29545254648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346918 (or 346898 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 29545254648 in words is "twenty-nine billion, five hundred forty-five million, two hundred fifty-four thousand, six hundred forty-eight".